[{"user_id":"5786","volume":164,"_id":"17413","language":[{"iso":"eng"}],"series_title":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","publisher":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","date_updated":"2022-01-06T06:53:11Z","intvolume":"       164","title":"Design, analysis, and evaluation of a data structure for distributed virtual environments","year":"2005","status":"public","publication_identifier":{"isbn":["3-935433-73-5"]},"author":[{"full_name":"Fischer, Matthias","last_name":"Fischer","first_name":"Matthias","id":"146"}],"type":"dissertation","department":[{"_id":"63"},{"_id":"26"}],"date_created":"2020-07-27T12:01:54Z","related_material":{"link":[{"relation":"confirmation","url":"http://nbn-resolving.de/urn:nbn:de:hbz:466-20050101109"}]},"supervisor":[{"last_name":"Meyer auf der Heide","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm","id":"15523"}],"citation":{"apa":"Fischer, M. (2005). <i>Design, analysis, and evaluation of a data structure for distributed virtual environments</i> (Vol. 164). Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn.","ieee":"M. Fischer, <i>Design, analysis, and evaluation of a data structure for distributed virtual environments</i>, vol. 164. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","chicago":"Fischer, Matthias. <i>Design, Analysis, and Evaluation of a Data Structure for Distributed Virtual Environments</i>. Vol. 164. Verlagsschriftenreihe Des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","short":"M. Fischer, Design, Analysis, and Evaluation of a Data Structure for Distributed Virtual Environments, Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","mla":"Fischer, Matthias. <i>Design, Analysis, and Evaluation of a Data Structure for Distributed Virtual Environments</i>. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","ama":"Fischer M. <i>Design, Analysis, and Evaluation of a Data Structure for Distributed Virtual Environments</i>. Vol 164. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn; 2005.","bibtex":"@book{Fischer_2005, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, title={Design, analysis, and evaluation of a data structure for distributed virtual environments}, volume={164}, publisher={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, author={Fischer, Matthias}, year={2005}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn} }"}},{"date_updated":"2022-01-06T06:53:11Z","publication_status":"published","year":"2005","title":"Virtual and augmented reality support for discrete manufacturing system simulation","status":"public","author":[{"first_name":"Wilhelm","last_name":"Dangelmaier","full_name":"Dangelmaier, Wilhelm"},{"first_name":"Matthias","last_name":"Fischer","full_name":"Fischer, Matthias","id":"146"},{"full_name":"Gausemeier, Jürgen","first_name":"Jürgen","last_name":"Gausemeier"},{"first_name":"Michael","last_name":"Grafe","full_name":"Grafe, Michael"},{"full_name":"Matysczok, Carsten","last_name":"Matysczok","first_name":"Carsten"},{"full_name":"Mueck, Bengt","last_name":"Mueck","first_name":"Bengt"}],"publication_identifier":{"issn":["0166-3615"]},"doi":"10.1016/j.compind.2005.01.007","user_id":"15415","page":"371-383","_id":"17414","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Nowadays companies operate in a difficult environment: the dynamics of innovations increase and product life cycles become shorter. Furthermore products and the corresponding manufacturing processes get more and more complex. Therefore, companies need new methods for the planning of manufacturing systems. One promising approach in this context is digital factory/virtual production—the modeling and analysis of computer models of the planned factory with the objective to reduce time and costs. For the modeling and analysis various simulation methods and programs have been developed. They are a highly valuable support for planning and visualizing the manufacturing system. But there is one major disadvantage: only experienced and long trained experts are able to operate with these programs. The graphical user interface is very complex and not intuitive to use. This results in an extensive and error-prone modeling of complex simulation models and a time-consuming interpretation of the simulation results.\r\n\r\nTo overcome these weak points, intuitive and understandable man–machine interfaces like augmented and virtual reality can be used. This paper describes the architecture of a system which uses the technologies of augmented and virtual reality to support the planning process of complex manufacturing systems. The proposed system assists the user in modeling, the validation of the simulation model, and the subsequent optimization of the production system. A general application of the VR- and AR-technologies and of the simulation is realized by the development of appropriate linking and integration mechanisms. For the visualization of the arising 3D-data within the VR- and AR-environments, a dedicated 3D-rendering library is used."}],"publication":"Computers in Industry","citation":{"mla":"Dangelmaier, Wilhelm, et al. “Virtual and Augmented Reality Support for Discrete Manufacturing System Simulation.” <i>Computers in Industry</i>, 2005, pp. 371–83, doi:<a href=\"https://doi.org/10.1016/j.compind.2005.01.007\">10.1016/j.compind.2005.01.007</a>.","ama":"Dangelmaier W, Fischer M, Gausemeier J, Grafe M, Matysczok C, Mueck B. Virtual and augmented reality support for discrete manufacturing system simulation. <i>Computers in Industry</i>. 2005:371-383. doi:<a href=\"https://doi.org/10.1016/j.compind.2005.01.007\">10.1016/j.compind.2005.01.007</a>","bibtex":"@article{Dangelmaier_Fischer_Gausemeier_Grafe_Matysczok_Mueck_2005, title={Virtual and augmented reality support for discrete manufacturing system simulation}, DOI={<a href=\"https://doi.org/10.1016/j.compind.2005.01.007\">10.1016/j.compind.2005.01.007</a>}, journal={Computers in Industry}, author={Dangelmaier, Wilhelm and Fischer, Matthias and Gausemeier, Jürgen and Grafe, Michael and Matysczok, Carsten and Mueck, Bengt}, year={2005}, pages={371–383} }","apa":"Dangelmaier, W., Fischer, M., Gausemeier, J., Grafe, M., Matysczok, C., &#38; Mueck, B. (2005). Virtual and augmented reality support for discrete manufacturing system simulation. <i>Computers in Industry</i>, 371–383. <a href=\"https://doi.org/10.1016/j.compind.2005.01.007\">https://doi.org/10.1016/j.compind.2005.01.007</a>","ieee":"W. Dangelmaier, M. Fischer, J. Gausemeier, M. Grafe, C. Matysczok, and B. Mueck, “Virtual and augmented reality support for discrete manufacturing system simulation,” <i>Computers in Industry</i>, pp. 371–383, 2005.","short":"W. Dangelmaier, M. Fischer, J. Gausemeier, M. Grafe, C. Matysczok, B. Mueck, Computers in Industry (2005) 371–383.","chicago":"Dangelmaier, Wilhelm, Matthias Fischer, Jürgen Gausemeier, Michael Grafe, Carsten Matysczok, and Bengt Mueck. “Virtual and Augmented Reality Support for Discrete Manufacturing System Simulation.” <i>Computers in Industry</i>, 2005, 371–83. <a href=\"https://doi.org/10.1016/j.compind.2005.01.007\">https://doi.org/10.1016/j.compind.2005.01.007</a>."},"type":"journal_article","department":[{"_id":"63"}],"date_created":"2020-07-27T12:11:32Z"},{"type":"conference","department":[{"_id":"63"}],"date_created":"2020-07-27T12:20:01Z","publication":"Proceedings of the Winter Simulation Conference","citation":{"mla":"Fischer, Matthias, et al. “Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations.” <i>Proceedings of the Winter Simulation Conference</i>, 2005, doi:<a href=\"https://doi.org/10.1109/wsc.2005.1574470\">10.1109/wsc.2005.1574470</a>.","ama":"Fischer M, Mueck B, Mahajan K, Kortenjan M, Laroque C, Dangelmaier W. Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations. In: <i>Proceedings of the Winter Simulation Conference</i>. ; 2005. doi:<a href=\"https://doi.org/10.1109/wsc.2005.1574470\">10.1109/wsc.2005.1574470</a>","bibtex":"@inproceedings{Fischer_Mueck_Mahajan_Kortenjan_Laroque_Dangelmaier_2005, title={Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations}, DOI={<a href=\"https://doi.org/10.1109/wsc.2005.1574470\">10.1109/wsc.2005.1574470</a>}, booktitle={Proceedings of the Winter Simulation Conference}, author={Fischer, Matthias and Mueck, B. and Mahajan, K. and Kortenjan, M. and Laroque, C. and Dangelmaier, W.}, year={2005} }","apa":"Fischer, M., Mueck, B., Mahajan, K., Kortenjan, M., Laroque, C., &#38; Dangelmaier, W. (2005). Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations. In <i>Proceedings of the Winter Simulation Conference</i>. <a href=\"https://doi.org/10.1109/wsc.2005.1574470\">https://doi.org/10.1109/wsc.2005.1574470</a>","ieee":"M. Fischer, B. Mueck, K. Mahajan, M. Kortenjan, C. Laroque, and W. Dangelmaier, “Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations,” in <i>Proceedings of the Winter Simulation Conference</i>, 2005.","chicago":"Fischer, Matthias, B. Mueck, K. Mahajan, M. Kortenjan, C. Laroque, and W. Dangelmaier. “Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations.” In <i>Proceedings of the Winter Simulation Conference</i>, 2005. <a href=\"https://doi.org/10.1109/wsc.2005.1574470\">https://doi.org/10.1109/wsc.2005.1574470</a>.","short":"M. Fischer, B. Mueck, K. Mahajan, M. Kortenjan, C. Laroque, W. Dangelmaier, in: Proceedings of the Winter Simulation Conference, 2005."},"user_id":"15415","doi":"10.1109/wsc.2005.1574470","language":[{"iso":"eng"}],"_id":"17415","publication_status":"published","date_updated":"2022-01-06T06:53:11Z","year":"2005","title":"Multi-User Support and Motion Planning of Humans and Humans Driven Vehicles in Interactive 3D Material Flow Simulations","status":"public","author":[{"id":"146","last_name":"Fischer","first_name":"Matthias","full_name":"Fischer, Matthias"},{"full_name":"Mueck, B.","last_name":"Mueck","first_name":"B."},{"full_name":"Mahajan, K.","last_name":"Mahajan","first_name":"K."},{"full_name":"Kortenjan, M.","last_name":"Kortenjan","first_name":"M."},{"first_name":"C.","last_name":"Laroque","full_name":"Laroque, C."},{"first_name":"W.","last_name":"Dangelmaier","full_name":"Dangelmaier, W."}],"publication_identifier":{"isbn":["0780395190"]}},{"status":"public","volume":34,"user_id":"15415","_id":"18763","page":"580-615","citation":{"ieee":"A. Czumaj and C. Sohler, “Abstract Combinatorial Programs and Efficient Property Testers,” <i>SIAM Journal on Computing</i>, vol. 34, no. 3, pp. 580–615, 2005.","apa":"Czumaj, A., &#38; Sohler, C. (2005). Abstract Combinatorial Programs and Efficient Property Testers. <i>SIAM Journal on Computing</i>, <i>34</i>(3), 580–615. <a href=\"https://doi.org/10.1137/s009753970444199x\">https://doi.org/10.1137/s009753970444199x</a>","chicago":"Czumaj, Artur, and Christian Sohler. “Abstract Combinatorial Programs and Efficient Property Testers.” <i>SIAM Journal on Computing</i> 34, no. 3 (2005): 580–615. <a href=\"https://doi.org/10.1137/s009753970444199x\">https://doi.org/10.1137/s009753970444199x</a>.","short":"A. Czumaj, C. Sohler, SIAM Journal on Computing 34 (2005) 580–615.","mla":"Czumaj, Artur, and Christian Sohler. “Abstract Combinatorial Programs and Efficient Property Testers.” <i>SIAM Journal on Computing</i>, vol. 34, no. 3, 2005, pp. 580–615, doi:<a href=\"https://doi.org/10.1137/s009753970444199x\">10.1137/s009753970444199x</a>.","bibtex":"@article{Czumaj_Sohler_2005, title={Abstract Combinatorial Programs and Efficient Property Testers}, volume={34}, DOI={<a href=\"https://doi.org/10.1137/s009753970444199x\">10.1137/s009753970444199x</a>}, number={3}, journal={SIAM Journal on Computing}, author={Czumaj, Artur and Sohler, Christian}, year={2005}, pages={580–615} }","ama":"Czumaj A, Sohler C. Abstract Combinatorial Programs and Efficient Property Testers. <i>SIAM Journal on Computing</i>. 2005;34(3):580-615. doi:<a href=\"https://doi.org/10.1137/s009753970444199x\">10.1137/s009753970444199x</a>"},"intvolume":"        34","date_updated":"2022-01-06T06:53:52Z","publication_status":"published","publication_identifier":{"issn":["0097-5397","1095-7111"]},"author":[{"full_name":"Czumaj, Artur","last_name":"Czumaj","first_name":"Artur"},{"full_name":"Sohler, Christian","first_name":"Christian","last_name":"Sohler"}],"title":"Abstract Combinatorial Programs and Efficient Property Testers","year":"2005","doi":"10.1137/s009753970444199x","language":[{"iso":"eng"}],"abstract":[{"text":"Property testing is a relaxation of classical decision problems which aims at distinguishing between functions having a predetermined property and functions being far from any function having the property. In this paper we present a novel framework for analyzing property testing algorithms. Our framework is based on a connection of property testing and a new class of problems which we call abstract combinatorial programs . We show that if the problem of testing a property can be reduced to an abstract combinatorial program of small dimension , then the property has an efficient tester.\r\n\r\nWe apply our framework to a variety of problems. We present efficient property testing algorithms for geometric clustering problems, for the reversal distance problem, and for graph and hypergraph coloring problems. We also prove that, informally, any hereditary graph property can be efficiently tested if and only if it can be reduced to an abstract combinatorial program of small size.\r\n\r\nOur framework allows us to analyze all our testers in a unified way, and the obtained complexity bounds either match or improve the previously known bounds. Furthermore, even if the asymptotic complexity of the testers is not improved, the obtained proofs are significantly simpler than the previous ones. We believe that our framework will help to understand the structure of efficiently testable properties.","lang":"eng"}],"publication":"SIAM Journal on Computing","issue":"3","department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-09-01T11:35:41Z"},{"page":"866-877","_id":"18768","language":[{"iso":"eng"}],"user_id":"15415","doi":"10.1007/11523468_70","title":"Facility Location in Sublinear Time","status":"public","year":"2005","publication_identifier":{"isbn":["9783540275800","9783540316916"],"issn":["0302-9743","1611-3349"]},"author":[{"first_name":"Mihai","last_name":"Bădoiu","full_name":"Bădoiu, Mihai"},{"full_name":"Czumaj, Artur","first_name":"Artur","last_name":"Czumaj"},{"first_name":"Piotr","last_name":"Indyk","full_name":"Indyk, Piotr"},{"first_name":"Christian","last_name":"Sohler","full_name":"Sohler, Christian"}],"publication_status":"published","date_updated":"2022-01-06T06:53:52Z","date_created":"2020-09-01T11:53:19Z","place":"Berlin, Heidelberg","type":"conference","department":[{"_id":"63"}],"publication":"Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)","citation":{"short":"M. Bădoiu, A. Czumaj, P. Indyk, C. Sohler, in: Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP), Berlin, Heidelberg, 2005, pp. 866–877.","chicago":"Bădoiu, Mihai, Artur Czumaj, Piotr Indyk, and Christian Sohler. “Facility Location in Sublinear Time.” In <i>Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)</i>, 866–77. Berlin, Heidelberg, 2005. <a href=\"https://doi.org/10.1007/11523468_70\">https://doi.org/10.1007/11523468_70</a>.","ieee":"M. Bădoiu, A. Czumaj, P. Indyk, and C. Sohler, “Facility Location in Sublinear Time,” in <i>Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)</i>, 2005, pp. 866–877.","apa":"Bădoiu, M., Czumaj, A., Indyk, P., &#38; Sohler, C. (2005). Facility Location in Sublinear Time. In <i>Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)</i> (pp. 866–877). Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/11523468_70\">https://doi.org/10.1007/11523468_70</a>","bibtex":"@inproceedings{Bădoiu_Czumaj_Indyk_Sohler_2005, place={Berlin, Heidelberg}, title={Facility Location in Sublinear Time}, DOI={<a href=\"https://doi.org/10.1007/11523468_70\">10.1007/11523468_70</a>}, booktitle={Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)}, author={Bădoiu, Mihai and Czumaj, Artur and Indyk, Piotr and Sohler, Christian}, year={2005}, pages={866–877} }","ama":"Bădoiu M, Czumaj A, Indyk P, Sohler C. Facility Location in Sublinear Time. In: <i>Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)</i>. Berlin, Heidelberg; 2005:866-877. doi:<a href=\"https://doi.org/10.1007/11523468_70\">10.1007/11523468_70</a>","mla":"Bădoiu, Mihai, et al. “Facility Location in Sublinear Time.” <i>Proc. of the 32nd International Colloquium on Automata, Languages and Programming (ICALP)</i>, 2005, pp. 866–77, doi:<a href=\"https://doi.org/10.1007/11523468_70\">10.1007/11523468_70</a>."}},{"user_id":"15415","page":"209-217","_id":"18787","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:53:52Z","status":"public","year":"2005","title":"Coresets in Dynamic Geometric Data Streams","author":[{"last_name":"Sohler","first_name":"Christian","full_name":"Sohler, Christian"},{"last_name":"Frahling","first_name":"Gereon","full_name":"Frahling, Gereon"}],"type":"conference","department":[{"_id":"63"}],"date_created":"2020-09-01T13:49:23Z","abstract":[{"text":"A dynamic geometric data stream consists of a sequence of m insert/delete operations of points from the discrete space {1,..., ∆} d [26]. We develop streaming (1 + ɛ)-approximation algorithms for k-median, k-means, MaxCut, maximum weighted matching (MaxWM), maximum travelling salesperson (MaxTSP), maximum spanning tree (MaxST), and average distance over dynamic geometric data streams. Our algorithms maintain a small weighted set of points (a coreset) that approximates with probability 2/3 the current point set with respect to the considered problem during the m insert/delete operations of the data stream. They use poly(ɛ −1, log m, log ∆) space and update time per insert/delete operation for constant k and dimension d. Having a coreset one only needs a fast approximation algorithm for the weighted problem to compute a solution quickly. In fact, even an exponential algorithm is sometimes feasible as its running time may still be polynomial in n. For example one can compute in poly(log n, exp(O((1+log(1/ɛ)/ɛ) d−1))) time a solution to k-median and k-means [21] where n is the size of the current point set and k and d are constants. Finding an implicit solution to MaxCut can be done in poly(log n, exp((1/ɛ) O(1))) time. For MaxST and average distance we require poly(log n, ɛ −1) time and for MaxWM we require O(n 3) time to do this.","lang":"eng"}],"publication":"Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)","citation":{"ieee":"C. Sohler and G. Frahling, “Coresets in Dynamic Geometric Data Streams,” in <i>Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)</i>, 2005, pp. 209–217.","apa":"Sohler, C., &#38; Frahling, G. (2005). Coresets in Dynamic Geometric Data Streams. In <i>Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)</i> (pp. 209–217).","short":"C. Sohler, G. Frahling, in: Proceedings of the 37th ACM Symposium on Theory of Computing (STOC), 2005, pp. 209–217.","chicago":"Sohler, Christian, and Gereon Frahling. “Coresets in Dynamic Geometric Data Streams.” In <i>Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)</i>, 209–17, 2005.","mla":"Sohler, Christian, and Gereon Frahling. “Coresets in Dynamic Geometric Data Streams.” <i>Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)</i>, 2005, pp. 209–17.","bibtex":"@inproceedings{Sohler_Frahling_2005, title={Coresets in Dynamic Geometric Data Streams}, booktitle={Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)}, author={Sohler, Christian and Frahling, Gereon}, year={2005}, pages={209–217} }","ama":"Sohler C, Frahling G. Coresets in Dynamic Geometric Data Streams. In: <i>Proceedings of the 37th ACM Symposium on Theory of Computing (STOC)</i>. ; 2005:209-217."}},{"doi":"10.1016/j.tcs.2004.09.031","language":[{"iso":"eng"}],"intvolume":"       331","date_updated":"2022-01-06T06:53:52Z","publication_status":"published","author":[{"first_name":"Artur","last_name":"Czumaj","full_name":"Czumaj, Artur"},{"first_name":"Christian","last_name":"Sohler","full_name":"Sohler, Christian"}],"publication_identifier":{"issn":["0304-3975"]},"year":"2005","title":"Testing hypergraph colorability","department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-09-01T14:00:37Z","issue":"1","publication":"Theoretical Computer Science","volume":331,"user_id":"15415","_id":"18790","page":"37-52","status":"public","citation":{"mla":"Czumaj, Artur, and Christian Sohler. “Testing Hypergraph Colorability.” <i>Theoretical Computer Science</i>, vol. 331, no. 1, 2005, pp. 37–52, doi:<a href=\"https://doi.org/10.1016/j.tcs.2004.09.031\">10.1016/j.tcs.2004.09.031</a>.","bibtex":"@article{Czumaj_Sohler_2005, title={Testing hypergraph colorability}, volume={331}, DOI={<a href=\"https://doi.org/10.1016/j.tcs.2004.09.031\">10.1016/j.tcs.2004.09.031</a>}, number={1}, journal={Theoretical Computer Science}, author={Czumaj, Artur and Sohler, Christian}, year={2005}, pages={37–52} }","ama":"Czumaj A, Sohler C. Testing hypergraph colorability. <i>Theoretical Computer Science</i>. 2005;331(1):37-52. doi:<a href=\"https://doi.org/10.1016/j.tcs.2004.09.031\">10.1016/j.tcs.2004.09.031</a>","ieee":"A. Czumaj and C. Sohler, “Testing hypergraph colorability,” <i>Theoretical Computer Science</i>, vol. 331, no. 1, pp. 37–52, 2005.","apa":"Czumaj, A., &#38; Sohler, C. (2005). Testing hypergraph colorability. <i>Theoretical Computer Science</i>, <i>331</i>(1), 37–52. <a href=\"https://doi.org/10.1016/j.tcs.2004.09.031\">https://doi.org/10.1016/j.tcs.2004.09.031</a>","short":"A. Czumaj, C. Sohler, Theoretical Computer Science 331 (2005) 37–52.","chicago":"Czumaj, Artur, and Christian Sohler. “Testing Hypergraph Colorability.” <i>Theoretical Computer Science</i> 331, no. 1 (2005): 37–52. <a href=\"https://doi.org/10.1016/j.tcs.2004.09.031\">https://doi.org/10.1016/j.tcs.2004.09.031</a>."}},{"citation":{"ieee":"A. Czumaj <i>et al.</i>, “Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time,” <i>SIAM Journal on Computing</i>, vol. 35, no. 1, pp. 91–109, 2005.","apa":"Czumaj, A., Ergün, F., Fortnow, L., Magen, A., Newman, I., Rubinfeld, R., &#38; Sohler, C. (2005). Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time. <i>SIAM Journal on Computing</i>, <i>35</i>(1), 91–109. <a href=\"https://doi.org/10.1137/s0097539703435297\">https://doi.org/10.1137/s0097539703435297</a>","chicago":"Czumaj, Artur, Funda Ergün, Lance Fortnow, Avner Magen, Ilan Newman, Ronitt Rubinfeld, and Christian Sohler. “Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time.” <i>SIAM Journal on Computing</i> 35, no. 1 (2005): 91–109. <a href=\"https://doi.org/10.1137/s0097539703435297\">https://doi.org/10.1137/s0097539703435297</a>.","short":"A. Czumaj, F. Ergün, L. Fortnow, A. Magen, I. Newman, R. Rubinfeld, C. Sohler, SIAM Journal on Computing 35 (2005) 91–109.","mla":"Czumaj, Artur, et al. “Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time.” <i>SIAM Journal on Computing</i>, vol. 35, no. 1, 2005, pp. 91–109, doi:<a href=\"https://doi.org/10.1137/s0097539703435297\">10.1137/s0097539703435297</a>.","bibtex":"@article{Czumaj_Ergün_Fortnow_Magen_Newman_Rubinfeld_Sohler_2005, title={Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time}, volume={35}, DOI={<a href=\"https://doi.org/10.1137/s0097539703435297\">10.1137/s0097539703435297</a>}, number={1}, journal={SIAM Journal on Computing}, author={Czumaj, Artur and Ergün, Funda and Fortnow, Lance and Magen, Avner and Newman, Ilan and Rubinfeld, Ronitt and Sohler, Christian}, year={2005}, pages={91–109} }","ama":"Czumaj A, Ergün F, Fortnow L, et al. Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time. <i>SIAM Journal on Computing</i>. 2005;35(1):91-109. doi:<a href=\"https://doi.org/10.1137/s0097539703435297\">10.1137/s0097539703435297</a>"},"_id":"18855","page":"91-109","volume":35,"user_id":"15415","status":"public","date_created":"2020-09-02T12:13:26Z","department":[{"_id":"63"}],"type":"journal_article","publication":"SIAM Journal on Computing","issue":"1","abstract":[{"text":"We consider the problem of computing the weight of a Euclidean minimum spanning tree for a set of n points in $\\mathbb R^d$. We focus on the setting where the input point set is supported by certain basic (and commonly used) geometric data structures that can provide efficient access to the input in a structured way. We present an algorithm that estimates with high probability the weight of a Euclidean minimum spanning tree of a set of points to within $1 + \\eps$ using only $\\widetilde{\\O}(\\sqrt{n} \\, \\text{poly} (1/\\eps))$ queries for constant d. The algorithm assumes that the input is supported by a minimal bounding cube enclosing it, by orthogonal range queries, and by cone approximate nearest neighbor queries.\r\n\r\n\r\nRead More: https://epubs.siam.org/doi/10.1137/S0097539703435297\r\n","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1137/s0097539703435297","publication_identifier":{"issn":["0097-5397","1095-7111"]},"author":[{"full_name":"Czumaj, Artur","last_name":"Czumaj","first_name":"Artur"},{"first_name":"Funda","last_name":"Ergün","full_name":"Ergün, Funda"},{"full_name":"Fortnow, Lance","last_name":"Fortnow","first_name":"Lance"},{"full_name":"Magen, Avner","first_name":"Avner","last_name":"Magen"},{"last_name":"Newman","first_name":"Ilan","full_name":"Newman, Ilan"},{"full_name":"Rubinfeld, Ronitt","first_name":"Ronitt","last_name":"Rubinfeld"},{"first_name":"Christian","last_name":"Sohler","full_name":"Sohler, Christian"}],"year":"2005","title":"Approximating the Weight of the Euclidean Minimum Spanning Tree in Sublinear Time","intvolume":"        35","date_updated":"2022-01-06T06:53:53Z","publication_status":"published"},{"date_updated":"2022-01-06T06:53:53Z","publication_status":"published","intvolume":"      3669","title":"Online Occlusion Culling","year":"2005","author":[{"last_name":"Frahling","first_name":"Gereon","full_name":"Frahling, Gereon"},{"first_name":"Jens","last_name":"Krokowski","full_name":"Krokowski, Jens"}],"publication_identifier":{"isbn":["9783540291183","9783540319511"],"issn":["0302-9743","1611-3349"]},"doi":"10.1007/11561071_67","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Modern computer graphics systems are able to render sophisticated 3D szenes consisting of millions of polygons. In this paper we address the problem of occlusion culling. Aila, Miettinen, and Nordlund suggested to implement a FIFO buffer on graphics cards which is able to delay the polygons before drawing them. When one of the polygons within the buffer is occluded or masked by another polygon arriving later from the application, the rendering engine can drop the occluded one without rendering, saving important rendering time.<br>We introduce a theoretical online model to analyse these problems in theory using competitive analysis. For different cost measures addressed we invent the first competitive algorithms for online occlusion culling. Our implementation shows that these algorithms outperform known ones for real 3D scenes as well."}],"publication":"Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)","type":"conference","department":[{"_id":"63"}],"date_created":"2020-09-02T13:26:52Z","status":"public","user_id":"15415","volume":3669,"page":"758-769","publisher":"Springer","_id":"18867","citation":{"mla":"Frahling, Gereon, and Jens Krokowski. “Online Occlusion Culling.” <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>, vol. 3669, Springer, 2005, pp. 758–69, doi:<a href=\"https://doi.org/10.1007/11561071_67\">10.1007/11561071_67</a>.","ama":"Frahling G, Krokowski J. Online Occlusion Culling. In: <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>. Vol 3669. Berlin, Heidelberg: Springer; 2005:758-769. doi:<a href=\"https://doi.org/10.1007/11561071_67\">10.1007/11561071_67</a>","bibtex":"@inproceedings{Frahling_Krokowski_2005, place={Berlin, Heidelberg}, title={Online Occlusion Culling}, volume={3669}, DOI={<a href=\"https://doi.org/10.1007/11561071_67\">10.1007/11561071_67</a>}, booktitle={Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)}, publisher={Springer}, author={Frahling, Gereon and Krokowski, Jens}, year={2005}, pages={758–769} }","apa":"Frahling, G., &#38; Krokowski, J. (2005). Online Occlusion Culling. In <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i> (Vol. 3669, pp. 758–769). Berlin, Heidelberg: Springer. <a href=\"https://doi.org/10.1007/11561071_67\">https://doi.org/10.1007/11561071_67</a>","ieee":"G. Frahling and J. Krokowski, “Online Occlusion Culling,” in <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>, 2005, vol. 3669, pp. 758–769.","short":"G. Frahling, J. Krokowski, in: Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005), Springer, Berlin, Heidelberg, 2005, pp. 758–769.","chicago":"Frahling, Gereon, and Jens Krokowski. “Online Occlusion Culling.” In <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>, 3669:758–69. Berlin, Heidelberg: Springer, 2005. <a href=\"https://doi.org/10.1007/11561071_67\">https://doi.org/10.1007/11561071_67</a>."},"place":"Berlin, Heidelberg"},{"publication_status":"published","date_updated":"2022-01-06T06:53:54Z","title":"Dynamic Page Migration Under Brownian Motion","year":"2005","status":"public","publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540287001","9783540319252"]},"author":[{"full_name":"Bienkowski, Marcin","first_name":"Marcin","last_name":"Bienkowski"},{"full_name":"Korzeniowski, Miroslaw","first_name":"Miroslaw","last_name":"Korzeniowski"}],"user_id":"15415","doi":"10.1007/11549468_105","_id":"18912","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We consider Dynamic Page Migration (DPM) problem, one of the fundamental subproblems of data management in dynamically changing networks. We investigate a hybrid scenario, where access patterns to the shared object are dictated by an adversary, and each processor performs a random walk in X. We extend the previous results of [4]: we develop algorithms for the case where X is a ring, and prove that with high probability they achieve a competitive ratio of O~(min{D−−√4,n}), where D is the size of the shared object and n is the number of nodes in the network. These results hold also for any d-dimensional torus or mesh with diameter at least Ω~(D−−√)."}],"publication":"Proc. of the European Conference in Parallel Processing (Euro-Par)","citation":{"chicago":"Bienkowski, Marcin, and Miroslaw Korzeniowski. “Dynamic Page Migration Under Brownian Motion.” In <i>Proc. of the European Conference in Parallel Processing (Euro-Par)</i>. Berlin, Heidelberg, 2005. <a href=\"https://doi.org/10.1007/11549468_105\">https://doi.org/10.1007/11549468_105</a>.","short":"M. Bienkowski, M. Korzeniowski, in: Proc. of the European Conference in Parallel Processing (Euro-Par), Berlin, Heidelberg, 2005.","ieee":"M. Bienkowski and M. Korzeniowski, “Dynamic Page Migration Under Brownian Motion,” in <i>Proc. of the European Conference in Parallel Processing (Euro-Par)</i>, 2005.","apa":"Bienkowski, M., &#38; Korzeniowski, M. (2005). Dynamic Page Migration Under Brownian Motion. In <i>Proc. of the European Conference in Parallel Processing (Euro-Par)</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/11549468_105\">https://doi.org/10.1007/11549468_105</a>","bibtex":"@inproceedings{Bienkowski_Korzeniowski_2005, place={Berlin, Heidelberg}, title={Dynamic Page Migration Under Brownian Motion}, DOI={<a href=\"https://doi.org/10.1007/11549468_105\">10.1007/11549468_105</a>}, booktitle={Proc. of the European Conference in Parallel Processing (Euro-Par)}, author={Bienkowski, Marcin and Korzeniowski, Miroslaw}, year={2005} }","ama":"Bienkowski M, Korzeniowski M. Dynamic Page Migration Under Brownian Motion. In: <i>Proc. of the European Conference in Parallel Processing (Euro-Par)</i>. Berlin, Heidelberg; 2005. doi:<a href=\"https://doi.org/10.1007/11549468_105\">10.1007/11549468_105</a>","mla":"Bienkowski, Marcin, and Miroslaw Korzeniowski. “Dynamic Page Migration Under Brownian Motion.” <i>Proc. of the European Conference in Parallel Processing (Euro-Par)</i>, 2005, doi:<a href=\"https://doi.org/10.1007/11549468_105\">10.1007/11549468_105</a>."},"type":"conference","department":[{"_id":"63"}],"date_created":"2020-09-03T07:56:58Z","place":"Berlin, Heidelberg"},{"citation":{"chicago":"Bienkowski, Marcin, and Jarosław Byrka. “Bucket Game with Applications to Set Multicover and Dynamic Page Migration.” In <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>, 3669:815–26. Berlin, Heidelberg: Springer , 2005. <a href=\"https://doi.org/10.1007/11561071_72\">https://doi.org/10.1007/11561071_72</a>.","short":"M. Bienkowski, J. Byrka, in: Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005), Springer , Berlin, Heidelberg, 2005, pp. 815–826.","ama":"Bienkowski M, Byrka J. Bucket Game with Applications to Set Multicover and Dynamic Page Migration. In: <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>. Vol 3669. Berlin, Heidelberg: Springer ; 2005:815-826. doi:<a href=\"https://doi.org/10.1007/11561071_72\">10.1007/11561071_72</a>","bibtex":"@inproceedings{Bienkowski_Byrka_2005, place={Berlin, Heidelberg}, title={Bucket Game with Applications to Set Multicover and Dynamic Page Migration}, volume={3669}, DOI={<a href=\"https://doi.org/10.1007/11561071_72\">10.1007/11561071_72</a>}, booktitle={Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)}, publisher={Springer }, author={Bienkowski, Marcin and Byrka, Jarosław}, year={2005}, pages={815–826} }","apa":"Bienkowski, M., &#38; Byrka, J. (2005). Bucket Game with Applications to Set Multicover and Dynamic Page Migration. In <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i> (Vol. 3669, pp. 815–826). Berlin, Heidelberg: Springer . <a href=\"https://doi.org/10.1007/11561071_72\">https://doi.org/10.1007/11561071_72</a>","mla":"Bienkowski, Marcin, and Jarosław Byrka. “Bucket Game with Applications to Set Multicover and Dynamic Page Migration.” <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>, vol. 3669, Springer , 2005, pp. 815–26, doi:<a href=\"https://doi.org/10.1007/11561071_72\">10.1007/11561071_72</a>.","ieee":"M. Bienkowski and J. Byrka, “Bucket Game with Applications to Set Multicover and Dynamic Page Migration,” in <i>Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)</i>, 2005, vol. 3669, pp. 815–826."},"place":"Berlin, Heidelberg","status":"public","user_id":"15415","volume":3669,"page":"815-826","_id":"18915","publisher":"Springer ","abstract":[{"lang":"eng","text":"We present a simple two-person Bucket Game, based on throwing balls into buckets, and we<br>discuss possible players' strategies.<br><br>We use these strategies to create an approximation algorithm for a generalization of<br>the well known Set Cover problem, where we need to cover each element by at least $k$ sets.<br>Furthermore, we apply these strategies to construct a randomized algorithm for Dynamic Page Migration <br>problem achieving the optimal competitive ratio against an oblivious adversary."}],"publication":"Proc. of the 13th Annual European Symposium on Algorithms (ESA 2005)","type":"conference","department":[{"_id":"63"}],"date_created":"2020-09-03T08:11:11Z","date_updated":"2022-01-06T06:53:54Z","publication_status":"published","intvolume":"      3669","title":"Bucket Game with Applications to Set Multicover and Dynamic Page Migration","year":"2005","publication_identifier":{"isbn":["9783540291183","9783540319511"],"issn":["0302-9743","1611-3349"]},"author":[{"full_name":"Bienkowski, Marcin","first_name":"Marcin","last_name":"Bienkowski"},{"full_name":"Byrka, Jarosław","last_name":"Byrka","first_name":"Jarosław"}],"doi":"10.1007/11561071_72","language":[{"iso":"eng"}]},{"abstract":[{"lang":"eng","text":"The page migration problem is one of subproblems of data management in networks. It occurs<br>in a distributed network of processors sharing one indivisible memory page of size D. During runtime,<br>the processors access a unit of data from the page, and the system is allowed to migrate the page <br>between the processors. The problem is to compute (on-line) a schedule of page movements <br>to minimize the total communication cost. <br><br>The Dynamic Page Migration problem is an extension to the page migration. <br>It attempts to model the network dynamics, occurring, for example, in mobile networks.<br>However, the pace of changes is restricted, i.e. the distances between processors can <br>change only by a constant per round.  <br><br>The movement of the nodes induce changes in the communication cost between each pair of nodes,  <br>which is proportional to the distance between them raised to some power $alpha$.<br>This is typical for mobile wireless networks, where nodes can move with a constant speed,<br>and the cost of communication is measured in terms of energy used for sending the data.<br>Thus, by setting $alpha$ equal to the propagation exponent of the medium, <br>cost minimization becomes minimizing the total energy consumption in the system. <br><br>However, as proven in citedynamic-page-migration, if both network mobility and <br>request sequence are created by an adversary, then the competitive ratio is polynomially large in D and <br>in the number of the nodes. In our search for a reasonable, close-to-reality model, in this paper we <br>consider a scenario in which the network mobility is adversarial, but the requests are <br>generated randomly by a stochastic process. We design an algorithm MTFR for this scenario,<br>and prove that it is O(1)-competitive, on expectation and with high probability."}],"publication":"Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)","citation":{"ieee":"M. Bienkowski, “Dynamic Page Migration with Stochastic Requests,” in <i>Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)</i>, Las Vegas, Nevada, USA, 2005, pp. 270–278.","mla":"Bienkowski, Marcin. “Dynamic Page Migration with Stochastic Requests.” <i>Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)</i>, ACM Press, NY, USA, 2005, pp. 270–78.","apa":"Bienkowski, M. (2005). Dynamic Page Migration with Stochastic Requests. In <i>Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)</i> (pp. 270–278). Las Vegas, Nevada, USA: ACM Press, NY, USA.","bibtex":"@inproceedings{Bienkowski_2005, title={Dynamic Page Migration with Stochastic Requests}, booktitle={Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)}, publisher={ACM Press, NY, USA}, author={Bienkowski, Marcin}, year={2005}, pages={270–278} }","short":"M. Bienkowski, in: Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005), ACM Press, NY, USA, 2005, pp. 270–278.","ama":"Bienkowski M. Dynamic Page Migration with Stochastic Requests. In: <i>Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)</i>. ACM Press, NY, USA; 2005:270-278.","chicago":"Bienkowski, Marcin. “Dynamic Page Migration with Stochastic Requests.” In <i>Proc. of the 17th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2005)</i>, 270–78. ACM Press, NY, USA, 2005."},"type":"conference","department":[{"_id":"63"}],"date_created":"2020-09-03T08:19:31Z","date_updated":"2022-01-06T06:53:54Z","title":"Dynamic Page Migration with Stochastic Requests","status":"public","year":"2005","conference":{"location":"Las Vegas, Nevada, USA"},"author":[{"last_name":"Bienkowski","first_name":"Marcin","full_name":"Bienkowski, Marcin"}],"user_id":"15415","page":"270-278","language":[{"iso":"eng"}],"_id":"18917","publisher":"ACM Press, NY, USA"},{"date_created":"2020-09-03T09:52:33Z","type":"conference","department":[{"_id":"63"}],"publication":"Proceedings of the 4th International Conference on Networking","abstract":[{"text":"Bluetooth is a wireless communication standard developed for personal area networks (PAN) that gained popularity in the last years. It was designed to connect a few devices together, however nowadays there is a need to build larger networks. Construction and maintenance algorithms have great effect on performance of the network. We present an algorithm based on Cube Connected Cycles (CCC) topology and show how to maintain the network so that it is easily scalable. Our design guarantees good properties such as constant degree and logarithmic dilation. Besides, the construction costs are proven to be at most constant times larger than any other algorithm would need.","lang":"eng"}],"series_title":" Lecture Notes in Computer Science","language":[{"iso":"eng"}],"doi":"10.1007/978-3-540-31956-6_49","year":"2005","title":"Cube Connected Cycles Based Bluetooth Scatternet Formation","author":[{"first_name":"Marcin","last_name":"Bienkowski","full_name":"Bienkowski, Marcin"},{"last_name":"Brinkmann","first_name":"André","full_name":"Brinkmann, André"},{"full_name":"Korzeniowski, Miroslaw","first_name":"Miroslaw","last_name":"Korzeniowski"},{"full_name":"Orhan, Orhan","last_name":"Orhan","first_name":"Orhan"}],"publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540253396","9783540319566"]},"date_updated":"2022-01-06T06:53:54Z","publication_status":"published","intvolume":"      3420","place":"Berlin, Heidelberg","citation":{"mla":"Bienkowski, Marcin, et al. “Cube Connected Cycles Based Bluetooth Scatternet Formation.” <i>Proceedings of the 4th International Conference on Networking</i>, vol. 3420, Springer, 2005, pp. 413–20, doi:<a href=\"https://doi.org/10.1007/978-3-540-31956-6_49\">10.1007/978-3-540-31956-6_49</a>.","bibtex":"@inproceedings{Bienkowski_Brinkmann_Korzeniowski_Orhan_2005, place={Berlin, Heidelberg}, series={ Lecture Notes in Computer Science}, title={Cube Connected Cycles Based Bluetooth Scatternet Formation}, volume={3420}, DOI={<a href=\"https://doi.org/10.1007/978-3-540-31956-6_49\">10.1007/978-3-540-31956-6_49</a>}, booktitle={Proceedings of the 4th International Conference on Networking}, publisher={Springer}, author={Bienkowski, Marcin and Brinkmann, André and Korzeniowski, Miroslaw and Orhan, Orhan}, year={2005}, pages={413–420}, collection={ Lecture Notes in Computer Science} }","ama":"Bienkowski M, Brinkmann A, Korzeniowski M, Orhan O. Cube Connected Cycles Based Bluetooth Scatternet Formation. In: <i>Proceedings of the 4th International Conference on Networking</i>. Vol 3420.  Lecture Notes in Computer Science. Berlin, Heidelberg: Springer; 2005:413-420. doi:<a href=\"https://doi.org/10.1007/978-3-540-31956-6_49\">10.1007/978-3-540-31956-6_49</a>","ieee":"M. Bienkowski, A. Brinkmann, M. Korzeniowski, and O. Orhan, “Cube Connected Cycles Based Bluetooth Scatternet Formation,” in <i>Proceedings of the 4th International Conference on Networking</i>, 2005, vol. 3420, pp. 413–420.","apa":"Bienkowski, M., Brinkmann, A., Korzeniowski, M., &#38; Orhan, O. (2005). Cube Connected Cycles Based Bluetooth Scatternet Formation. In <i>Proceedings of the 4th International Conference on Networking</i> (Vol. 3420, pp. 413–420). Berlin, Heidelberg: Springer. <a href=\"https://doi.org/10.1007/978-3-540-31956-6_49\">https://doi.org/10.1007/978-3-540-31956-6_49</a>","chicago":"Bienkowski, Marcin, André Brinkmann, Miroslaw Korzeniowski, and Orhan Orhan. “Cube Connected Cycles Based Bluetooth Scatternet Formation.” In <i>Proceedings of the 4th International Conference on Networking</i>, 3420:413–20.  Lecture Notes in Computer Science. Berlin, Heidelberg: Springer, 2005. <a href=\"https://doi.org/10.1007/978-3-540-31956-6_49\">https://doi.org/10.1007/978-3-540-31956-6_49</a>.","short":"M. Bienkowski, A. Brinkmann, M. Korzeniowski, O. Orhan, in: Proceedings of the 4th International Conference on Networking, Springer, Berlin, Heidelberg, 2005, pp. 413–420."},"page":"413-420","_id":"18924","publisher":"Springer","user_id":"15415","volume":3420,"status":"public"},{"department":[{"_id":"63"}],"type":"conference","date_created":"2020-09-03T10:01:03Z","abstract":[{"text":"The dynamic page migration problem citedynamic-page-migration is defined in <br>a distributed network of $n$ mobile nodes sharing one indivisible memory page <br>of size $D$. During runtime, the nodes can both access a unit of data from<br>the page and move with a constant speed, thus changing the costs of communication.<br>The problem is to compute <em> online</em> a schedule of page movements<br>to minimize the total communication cost.<br><br>In this paper we construct and analyze the first deterministic algorithm for this problem. <br>We prove that it achieves an (up to a constant factor) optimal competitive ratio <br>$O(n cdot sqrtD)$. We show that the randomization of this algorithm <br>improves this ratio to $O(sqrtD cdot log n)$ (against an oblivious adversary). <br>This substantially improves an $O(n cdot sqrtD)$ upper bound from citedynamic-page-migration.<br>We also give an almost matching lower bound of $Omega(sqrtD cdot sqrtlog n)$ for this problem.","lang":"eng"}],"citation":{"mla":"Bienkowski, Marcin, et al. “Improved Algorithms for Dynamic Page Migration.” <i>Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)</i>, 2005, pp. 365–76, doi:<a href=\"https://doi.org/10.1007/978-3-540-31856-9_30\">10.1007/978-3-540-31856-9_30</a>.","apa":"Bienkowski, M., Dynia, M., &#38; Korzeniowski, M. (2005). Improved Algorithms for Dynamic Page Migration. In <i>Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)</i> (pp. 365–376). <a href=\"https://doi.org/10.1007/978-3-540-31856-9_30\">https://doi.org/10.1007/978-3-540-31856-9_30</a>","ieee":"M. Bienkowski, M. Dynia, and M. Korzeniowski, “Improved Algorithms for Dynamic Page Migration,” in <i>Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)</i>, 2005, pp. 365–376.","ama":"Bienkowski M, Dynia M, Korzeniowski M. Improved Algorithms for Dynamic Page Migration. In: <i>Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)</i>. Lecture Notes in Computer Science. ; 2005:365-376. doi:<a href=\"https://doi.org/10.1007/978-3-540-31856-9_30\">10.1007/978-3-540-31856-9_30</a>","short":"M. Bienkowski, M. Dynia, M. Korzeniowski, in: Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS), 2005, pp. 365–376.","chicago":"Bienkowski, Marcin, Miroslaw Dynia, and Miroslaw Korzeniowski. “Improved Algorithms for Dynamic Page Migration.” In <i>Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)</i>, 365–76. Lecture Notes in Computer Science, 2005. <a href=\"https://doi.org/10.1007/978-3-540-31856-9_30\">https://doi.org/10.1007/978-3-540-31856-9_30</a>.","bibtex":"@inproceedings{Bienkowski_Dynia_Korzeniowski_2005, series={Lecture Notes in Computer Science}, title={Improved Algorithms for Dynamic Page Migration}, DOI={<a href=\"https://doi.org/10.1007/978-3-540-31856-9_30\">10.1007/978-3-540-31856-9_30</a>}, booktitle={Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)}, author={Bienkowski, Marcin and Dynia, Miroslaw and Korzeniowski, Miroslaw}, year={2005}, pages={365–376}, collection={Lecture Notes in Computer Science} }"},"publication":"Proc. of the 22nd Symposium on Theoretical Aspects of Computer Science (STACS)","doi":"10.1007/978-3-540-31856-9_30","user_id":"15415","_id":"18925","language":[{"iso":"eng"}],"series_title":"Lecture Notes in Computer Science","page":"365-376","date_updated":"2022-01-06T06:53:54Z","publication_status":"published","publication_identifier":{"isbn":["9783540249986","9783540318569"],"issn":["0302-9743","1611-3349"]},"author":[{"first_name":"Marcin","last_name":"Bienkowski","full_name":"Bienkowski, Marcin"},{"last_name":"Dynia","first_name":"Miroslaw","full_name":"Dynia, Miroslaw"},{"full_name":"Korzeniowski, Miroslaw","last_name":"Korzeniowski","first_name":"Miroslaw"}],"title":"Improved Algorithms for Dynamic Page Migration","status":"public","year":"2005"},{"date_created":"2020-09-03T14:44:08Z","department":[{"_id":"63"},{"_id":"26"}],"type":"dissertation","citation":{"ama":"Räcke H. <i>Data Management and Routing in General Networks</i>. Vol 154. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn; 2005.","bibtex":"@book{Räcke_2005, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, title={Data Management and Routing in General Networks}, volume={154}, publisher={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, author={Räcke, Harald}, year={2005}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn} }","mla":"Räcke, Harald. <i>Data Management and Routing in General Networks</i>. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","short":"H. Räcke, Data Management and Routing in General Networks, Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","chicago":"Räcke, Harald. <i>Data Management and Routing in General Networks</i>. Vol. 154. Verlagsschriftenreihe Des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005.","apa":"Räcke, H. (2005). <i>Data Management and Routing in General Networks</i> (Vol. 154). Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn.","ieee":"H. Räcke, <i>Data Management and Routing in General Networks</i>, vol. 154. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2005."},"supervisor":[{"last_name":"Meyer auf der Heide","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm","id":"15523"}],"related_material":{"link":[{"relation":"confirmation","url":"http://digital.ub.uni-paderborn.de/ubpb/urn/urn:nbn:de:hbz:466-20030101262"}]},"_id":"18967","series_title":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","language":[{"iso":"eng"}],"publisher":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","volume":154,"user_id":"5786","publication_identifier":{"isbn":["3-935433-63-8"]},"author":[{"full_name":"Räcke, Harald","last_name":"Räcke","first_name":"Harald"}],"title":"Data Management and Routing in General Networks","status":"public","year":"2005","intvolume":"       154","date_updated":"2022-01-06T06:53:56Z"},{"date_created":"2021-09-07T13:10:15Z","type":"conference","department":[{"_id":"63"}],"publication":"Proceedings of the twenty-first annual symposium on Computational geometry  - SCG '05","citation":{"ieee":"G. Frahling, P. Indyk, and C. Sohler, “Sampling in dynamic data streams and applications,” in <i>Proceedings of the twenty-first annual symposium on Computational geometry  - SCG ’05</i>, 2005.","apa":"Frahling, G., Indyk, P., &#38; Sohler, C. (2005). Sampling in dynamic data streams and applications. In <i>Proceedings of the twenty-first annual symposium on Computational geometry  - SCG ’05</i>. <a href=\"https://doi.org/10.1145/1064092.1064116\">https://doi.org/10.1145/1064092.1064116</a>","short":"G. Frahling, P. Indyk, C. Sohler, in: Proceedings of the Twenty-First Annual Symposium on Computational Geometry  - SCG ’05, 2005.","chicago":"Frahling, Gereon, Piotr Indyk, and Christian Sohler. “Sampling in Dynamic Data Streams and Applications.” In <i>Proceedings of the Twenty-First Annual Symposium on Computational Geometry  - SCG ’05</i>, 2005. <a href=\"https://doi.org/10.1145/1064092.1064116\">https://doi.org/10.1145/1064092.1064116</a>.","mla":"Frahling, Gereon, et al. “Sampling in Dynamic Data Streams and Applications.” <i>Proceedings of the Twenty-First Annual Symposium on Computational Geometry  - SCG ’05</i>, 2005, doi:<a href=\"https://doi.org/10.1145/1064092.1064116\">10.1145/1064092.1064116</a>.","bibtex":"@inproceedings{Frahling_Indyk_Sohler_2005, title={Sampling in dynamic data streams and applications}, DOI={<a href=\"https://doi.org/10.1145/1064092.1064116\">10.1145/1064092.1064116</a>}, booktitle={Proceedings of the twenty-first annual symposium on Computational geometry  - SCG ’05}, author={Frahling, Gereon and Indyk, Piotr and Sohler, Christian}, year={2005} }","ama":"Frahling G, Indyk P, Sohler C. Sampling in dynamic data streams and applications. In: <i>Proceedings of the Twenty-First Annual Symposium on Computational Geometry  - SCG ’05</i>. ; 2005. doi:<a href=\"https://doi.org/10.1145/1064092.1064116\">10.1145/1064092.1064116</a>"},"abstract":[{"lang":"eng","text":"A dynamic geometric data stream is a sequence of m Add/Remove operations of points from a discrete geometric space (1,...,Δ)d [21]. Add(p) inserts a point p from (1,...,Δ)d into the current point set, Remove(p) deletes p from P. We develop low-storage data structures to (i) maintain ε-approximations of range spaces of P with constant VC-dimension and (ii) maintain an ε-approximation of the weight of the Euclidean minimum spanning tree of P. Our data structures use O(log3ε • log3(1/ε) • log(1/ε)/ε2) and O(log (1/δ) • (log Δ/ε)O(d)) bits of memory, respectively (we assume that the dimension d is a constant), and they are correct with probability 1-δ. These results are based on a new data structure that maintains a set of elements chosen (almost) uniformly at random from P."}],"language":[{"iso":"eng"}],"_id":"23883","doi":"10.1145/1064092.1064116","user_id":"15415","title":"Sampling in dynamic data streams and applications","year":"2005","status":"public","author":[{"first_name":"Gereon","last_name":"Frahling","full_name":"Frahling, Gereon"},{"last_name":"Indyk","first_name":"Piotr","full_name":"Indyk, Piotr"},{"full_name":"Sohler, Christian","last_name":"Sohler","first_name":"Christian"}],"date_updated":"2022-01-06T06:56:02Z","publication_status":"published"},{"place":"Berlin, Heidelberg","date_created":"2020-08-14T13:44:48Z","type":"book_chapter","department":[{"_id":"63"}],"publication":"Fundamentals of Computation Theory","citation":{"mla":"Köhler, Sven, et al. “On Approximating Real-World Halting Problems.” <i>Fundamentals of Computation Theory</i>, 2005, doi:<a href=\"https://doi.org/10.1007/11537311_40\">10.1007/11537311_40</a>.","ama":"Köhler S, Schindelhauer C, Ziegler M. On Approximating Real-World Halting Problems. In: <i>Fundamentals of Computation Theory</i>. Berlin, Heidelberg; 2005. doi:<a href=\"https://doi.org/10.1007/11537311_40\">10.1007/11537311_40</a>","bibtex":"@inbook{Köhler_Schindelhauer_Ziegler_2005, place={Berlin, Heidelberg}, title={On Approximating Real-World Halting Problems}, DOI={<a href=\"https://doi.org/10.1007/11537311_40\">10.1007/11537311_40</a>}, booktitle={Fundamentals of Computation Theory}, author={Köhler, Sven and Schindelhauer, Christian and Ziegler, Martin}, year={2005} }","apa":"Köhler, S., Schindelhauer, C., &#38; Ziegler, M. (2005). On Approximating Real-World Halting Problems. In <i>Fundamentals of Computation Theory</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/11537311_40\">https://doi.org/10.1007/11537311_40</a>","ieee":"S. Köhler, C. Schindelhauer, and M. Ziegler, “On Approximating Real-World Halting Problems,” in <i>Fundamentals of Computation Theory</i>, Berlin, Heidelberg, 2005.","short":"S. Köhler, C. Schindelhauer, M. Ziegler, in: Fundamentals of Computation Theory, Berlin, Heidelberg, 2005.","chicago":"Köhler, Sven, Christian Schindelhauer, and Martin Ziegler. “On Approximating Real-World Halting Problems.” In <i>Fundamentals of Computation Theory</i>. Berlin, Heidelberg, 2005. <a href=\"https://doi.org/10.1007/11537311_40\">https://doi.org/10.1007/11537311_40</a>."},"language":[{"iso":"eng"}],"_id":"17988","doi":"10.1007/11537311_40","user_id":"15415","title":"On Approximating Real-World Halting Problems","year":"2005","status":"public","publication_identifier":{"isbn":["9783540281931","9783540318736"],"issn":["0302-9743","1611-3349"]},"author":[{"full_name":"Köhler, Sven","first_name":"Sven","last_name":"Köhler"},{"full_name":"Schindelhauer, Christian","first_name":"Christian","last_name":"Schindelhauer"},{"last_name":"Ziegler","first_name":"Martin","full_name":"Ziegler, Martin"}],"date_updated":"2022-01-06T06:53:24Z","publication_status":"published"},{"doi":"10.1007/11537311_41","user_id":"15415","language":[{"iso":"eng"}],"_id":"17989","date_updated":"2022-01-06T06:53:24Z","publication_status":"published","publication_identifier":{"isbn":["9783540281931","9783540318736"],"issn":["0302-9743","1611-3349"]},"author":[{"first_name":"Klaus","last_name":"Meer","full_name":"Meer, Klaus"},{"last_name":"Ziegler","first_name":"Martin","full_name":"Ziegler, Martin"}],"title":"An Explicit Solution to Post’s Problem over the Reals","status":"public","year":"2005","department":[{"_id":"63"}],"type":"book_chapter","place":"Berlin, Heidelberg","date_created":"2020-08-14T13:46:23Z","citation":{"mla":"Meer, Klaus, and Martin Ziegler. “An Explicit Solution to Post’s Problem over the Reals.” <i>Fundamentals of Computation Theory</i>, 2005, doi:<a href=\"https://doi.org/10.1007/11537311_41\">10.1007/11537311_41</a>.","bibtex":"@inbook{Meer_Ziegler_2005, place={Berlin, Heidelberg}, title={An Explicit Solution to Post’s Problem over the Reals}, DOI={<a href=\"https://doi.org/10.1007/11537311_41\">10.1007/11537311_41</a>}, booktitle={Fundamentals of Computation Theory}, author={Meer, Klaus and Ziegler, Martin}, year={2005} }","ama":"Meer K, Ziegler M. An Explicit Solution to Post’s Problem over the Reals. In: <i>Fundamentals of Computation Theory</i>. Berlin, Heidelberg; 2005. doi:<a href=\"https://doi.org/10.1007/11537311_41\">10.1007/11537311_41</a>","ieee":"K. Meer and M. Ziegler, “An Explicit Solution to Post’s Problem over the Reals,” in <i>Fundamentals of Computation Theory</i>, Berlin, Heidelberg, 2005.","apa":"Meer, K., &#38; Ziegler, M. (2005). An Explicit Solution to Post’s Problem over the Reals. In <i>Fundamentals of Computation Theory</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/11537311_41\">https://doi.org/10.1007/11537311_41</a>","short":"K. Meer, M. Ziegler, in: Fundamentals of Computation Theory, Berlin, Heidelberg, 2005.","chicago":"Meer, Klaus, and Martin Ziegler. “An Explicit Solution to Post’s Problem over the Reals.” In <i>Fundamentals of Computation Theory</i>. Berlin, Heidelberg, 2005. <a href=\"https://doi.org/10.1007/11537311_41\">https://doi.org/10.1007/11537311_41</a>."},"publication":"Fundamentals of Computation Theory"},{"status":"public","user_id":"15415","volume":3526,"page":"562-571","publisher":"Springer","_id":"18280","citation":{"apa":"Ziegler, M. (2005). Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism. In <i>Proc. CiE 2005: New Computational Paradigms</i> (Vol. 3526, pp. 562–571). Springer. <a href=\"https://doi.org/10.1007/11494645_68\">https://doi.org/10.1007/11494645_68</a>","mla":"Ziegler, Martin. “Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism.” <i>Proc. CiE 2005: New Computational Paradigms</i>, vol. 3526, Springer, 2005, pp. 562–71, doi:<a href=\"https://doi.org/10.1007/11494645_68\">10.1007/11494645_68</a>.","ieee":"M. Ziegler, “Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism,” in <i>Proc. CiE 2005: New Computational Paradigms</i>, 2005, vol. 3526, pp. 562–571.","chicago":"Ziegler, Martin. “Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism.” In <i>Proc. CiE 2005: New Computational Paradigms</i>, 3526:562–71. Springer, 2005. <a href=\"https://doi.org/10.1007/11494645_68\">https://doi.org/10.1007/11494645_68</a>.","short":"M. Ziegler, in: Proc. CiE 2005: New Computational Paradigms, Springer, 2005, pp. 562–571.","ama":"Ziegler M. Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism. In: <i>Proc. CiE 2005: New Computational Paradigms</i>. Vol 3526. Springer; 2005:562-571. doi:<a href=\"https://doi.org/10.1007/11494645_68\">10.1007/11494645_68</a>","bibtex":"@inproceedings{Ziegler_2005, title={Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism}, volume={3526}, DOI={<a href=\"https://doi.org/10.1007/11494645_68\">10.1007/11494645_68</a>}, booktitle={Proc. CiE 2005: New Computational Paradigms}, publisher={Springer}, author={Ziegler, Martin}, year={2005}, pages={562–571} }"},"publication_status":"published","date_updated":"2022-01-06T06:53:28Z","intvolume":"      3526","year":"2005","title":"Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism","publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540261797","9783540322665"]},"author":[{"full_name":"Ziegler, Martin","first_name":"Martin","last_name":"Ziegler"}],"doi":"10.1007/11494645_68","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"The sometimes so-called Main Theorem of Recursive Analysis implies that any computable real function is necessarily continuous. We consider three relaxations of this common notion of real computability for the purpose of treating also discontinuous functions f:R->R:<br>*) non-deterministic computation;<br>*) relativized computation, specifically given access to oracles like 0' or 0'';<br>*) encoding input x and/or output y=f(x) in weaker ways according to the Real Arithmetic Hierarchy.<br>It turns out that, among these approaches, only the first one provides the required power."}],"publication":"Proc. CiE 2005: New Computational Paradigms","type":"conference","department":[{"_id":"63"}],"date_created":"2020-08-25T12:38:49Z"},{"citation":{"ama":"Ziegler M. Computational Power of Infinite Quantum Parallelism. <i>International Journal of Theoretical Physics</i>. 2005;44(11):2059-2071. doi:<a href=\"https://doi.org/10.1007/s10773-005-8984-0\">10.1007/s10773-005-8984-0</a>","bibtex":"@article{Ziegler_2005, title={Computational Power of Infinite Quantum Parallelism}, volume={44}, DOI={<a href=\"https://doi.org/10.1007/s10773-005-8984-0\">10.1007/s10773-005-8984-0</a>}, number={11}, journal={International Journal of Theoretical Physics}, author={Ziegler, Martin}, year={2005}, pages={2059–2071} }","mla":"Ziegler, Martin. “Computational Power of Infinite Quantum Parallelism.” <i>International Journal of Theoretical Physics</i>, vol. 44, no. 11, 2005, pp. 2059–71, doi:<a href=\"https://doi.org/10.1007/s10773-005-8984-0\">10.1007/s10773-005-8984-0</a>.","short":"M. Ziegler, International Journal of Theoretical Physics 44 (2005) 2059–2071.","chicago":"Ziegler, Martin. “Computational Power of Infinite Quantum Parallelism.” <i>International Journal of Theoretical Physics</i> 44, no. 11 (2005): 2059–71. <a href=\"https://doi.org/10.1007/s10773-005-8984-0\">https://doi.org/10.1007/s10773-005-8984-0</a>.","apa":"Ziegler, M. (2005). Computational Power of Infinite Quantum Parallelism. <i>International Journal of Theoretical Physics</i>, <i>44</i>(11), 2059–2071. <a href=\"https://doi.org/10.1007/s10773-005-8984-0\">https://doi.org/10.1007/s10773-005-8984-0</a>","ieee":"M. Ziegler, “Computational Power of Infinite Quantum Parallelism,” <i>International Journal of Theoretical Physics</i>, vol. 44, no. 11, pp. 2059–2071, 2005."},"user_id":"15415","volume":44,"page":"2059-2071","_id":"18282","status":"public","type":"journal_article","department":[{"_id":"63"}],"date_created":"2020-08-25T12:47:12Z","issue":"11","publication":"International Journal of Theoretical Physics","doi":"10.1007/s10773-005-8984-0","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:53:28Z","publication_status":"published","intvolume":"        44","year":"2005","title":"Computational Power of Infinite Quantum Parallelism","publication_identifier":{"issn":["0020-7748","1572-9575"]},"author":[{"full_name":"Ziegler, Martin","first_name":"Martin","last_name":"Ziegler"}]}]