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Contention Resolution in Hashing Based Shared Memory Simulations. <i>SIAM Journal on Computing</i>. 2000:1703-1739. doi:<a href=\"https://doi.org/10.1137/s009753979529564x\">10.1137/s009753979529564x</a>","bibtex":"@article{Czumaj_Meyer auf der Heide_Stemann_2000, title={Contention Resolution in Hashing Based Shared Memory Simulations}, DOI={<a href=\"https://doi.org/10.1137/s009753979529564x\">10.1137/s009753979529564x</a>}, journal={SIAM Journal on Computing}, author={Czumaj, Artur and Meyer auf der Heide, Friedhelm and Stemann, Volker}, year={2000}, pages={1703–1739} }"},"page":"1703-1739","language":[{"iso":"eng"}],"_id":"17010","doi":"10.1137/s009753979529564x","user_id":"15415","year":"2000","title":"Contention Resolution in Hashing Based Shared Memory Simulations","status":"public","author":[{"full_name":"Czumaj, Artur","last_name":"Czumaj","first_name":"Artur"},{"id":"15523","first_name":"Friedhelm","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm"},{"first_name":"Volker","last_name":"Stemann","full_name":"Stemann, Volker"}],"publication_identifier":{"issn":["0097-5397","1095-7111"]},"date_updated":"2022-01-06T06:53:01Z","publication_status":"published"},{"department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-03-24T10:59:27Z","file":[{"file_id":"17588","content_type":"application/pdf","success":1,"relation":"main_file","date_updated":"2020-08-04T13:17:46Z","file_name":"FFP-06-2000.pdf","file_size":477845,"access_level":"closed","date_created":"2020-08-04T13:17:46Z","creator":"koala"}],"citation":{"mla":"Meyer auf der Heide, Friedhelm, and Rolf Wanka. “Von Der Hollerith-Maschine Zum Parallelrechner - Die Alltägliche Aufgabe Des Sortierens Als Fortschrittsmotor Für Die Informatik.” <i>ForschungsForum Paderborn</i>, 2000, pp. 112–16.","ama":"Meyer auf der Heide F, Wanka R. 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(2000). <i>Probabilistic Methods for Coordination Problems</i>.","ieee":"C. Scheideler, <i>Probabilistic Methods for Coordination Problems</i>. 2000.","chicago":"Scheideler, Christian. <i>Probabilistic Methods for Coordination Problems</i>, 2000.","short":"C. Scheideler, Probabilistic Methods for Coordination Problems, 2000."},"department":[{"_id":"63"},{"_id":"26"}],"type":"habilitation","date_created":"2020-09-30T10:05:34Z"},{"department":[{"_id":"63"}],"type":"conference","date_created":"2020-09-28T12:11:30Z","abstract":[{"text":"The Paderborn University BSP (PUB) library is a parallel C library based on the BSP model. The basic library supports buffered and unbuffered asynchronous communication between any pair of processors, and a mechanism for synchronizing the processors in a barrier style. In ad-dition, it provides routines for collective communication on arbitrary subsets of processors, partition operations, and a zero-cost synchronization mechanism. Furthermore, some techniques used in its implementation deviate significantly from the techniques used in other BSP libraries.","lang":"eng"}],"citation":{"ieee":"O. Bonorden, B. Juurlink, I. Von Otte, and I. Rieping, “The Paderborn university BSP (PUB) library-design, implementation and performance,” in <i>Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing</i>, 1999, pp. 99–104, doi: <a href=\"https://doi.org/10.1109/ipps.1999.760442\">10.1109/ipps.1999.760442</a>.","apa":"Bonorden, O., Juurlink, B., Von Otte, I., &#38; Rieping, I. (1999). The Paderborn university BSP (PUB) library-design, implementation and performance. <i>Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing</i>, 99–104. <a href=\"https://doi.org/10.1109/ipps.1999.760442\">https://doi.org/10.1109/ipps.1999.760442</a>","short":"O. Bonorden, B. Juurlink, I. Von Otte, I. Rieping, in: Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing, 1999, pp. 99–104.","chicago":"Bonorden, Olaf, Bernhardus Juurlink, I. Von Otte, and Ingo Rieping. “The Paderborn University BSP (PUB) Library-Design, Implementation and Performance.” In <i>Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing</i>, 99–104, 1999. <a href=\"https://doi.org/10.1109/ipps.1999.760442\">https://doi.org/10.1109/ipps.1999.760442</a>.","mla":"Bonorden, Olaf, et al. “The Paderborn University BSP (PUB) Library-Design, Implementation and Performance.” <i>Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing</i>, 1999, pp. 99–104, doi:<a href=\"https://doi.org/10.1109/ipps.1999.760442\">10.1109/ipps.1999.760442</a>.","bibtex":"@inproceedings{Bonorden_Juurlink_Von Otte_Rieping_1999, title={The Paderborn university BSP (PUB) library-design, implementation and performance}, DOI={<a href=\"https://doi.org/10.1109/ipps.1999.760442\">10.1109/ipps.1999.760442</a>}, booktitle={Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing}, author={Bonorden, Olaf and Juurlink, Bernhardus and Von Otte, I. and Rieping, Ingo}, year={1999}, pages={99–104} }","ama":"Bonorden O, Juurlink B, Von Otte I, Rieping I. The Paderborn university BSP (PUB) library-design, implementation and performance. In: <i>Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing</i>. ; 1999:99-104. doi:<a href=\"https://doi.org/10.1109/ipps.1999.760442\">10.1109/ipps.1999.760442</a>"},"publication":"Proceedings 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing","user_id":"15415","doi":"10.1109/ipps.1999.760442","language":[{"iso":"eng"}],"_id":"19732","page":"99-104","publication_status":"published","date_updated":"2022-01-06T06:54:10Z","author":[{"full_name":"Bonorden, Olaf","last_name":"Bonorden","first_name":"Olaf"},{"full_name":"Juurlink, Bernhardus","first_name":"Bernhardus","last_name":"Juurlink"},{"full_name":"Von Otte, I.","last_name":"Von Otte","first_name":"I."},{"last_name":"Rieping","first_name":"Ingo","full_name":"Rieping, Ingo"}],"publication_identifier":{"isbn":["0769501435"]},"year":"1999","status":"public","title":"The Paderborn university BSP (PUB) library-design, implementation and performance"},{"author":[{"last_name":"Flammini","first_name":"Michele","full_name":"Flammini, Michele"},{"full_name":"Scheideler, Christian","first_name":"Christian","last_name":"Scheideler","id":"20792"}],"title":"Simple, Efficient Routing Schemes for All-Optical Networks","status":"public","year":"1999","intvolume":"        32","date_updated":"2022-01-06T06:55:02Z","language":[{"iso":"eng"}],"_id":"2151","page":"387--420","volume":32,"doi":"10.1007/s002240000123","user_id":"14955","citation":{"ama":"Flammini M, Scheideler C. Simple, Efficient Routing Schemes for All-Optical Networks. <i>Theory Comput Syst</i>. 1999;32(3):387--420. doi:<a href=\"https://doi.org/10.1007/s002240000123\">10.1007/s002240000123</a>","bibtex":"@article{Flammini_Scheideler_1999, title={Simple, Efficient Routing Schemes for All-Optical Networks}, volume={32}, DOI={<a href=\"https://doi.org/10.1007/s002240000123\">10.1007/s002240000123</a>}, number={3}, journal={Theory Comput. Syst.}, author={Flammini, Michele and Scheideler, Christian}, year={1999}, pages={387--420} }","mla":"Flammini, Michele, and Christian Scheideler. “Simple, Efficient Routing Schemes for All-Optical Networks.” <i>Theory Comput. Syst.</i>, vol. 32, no. 3, 1999, pp. 387--420, doi:<a href=\"https://doi.org/10.1007/s002240000123\">10.1007/s002240000123</a>.","short":"M. Flammini, C. Scheideler, Theory Comput. Syst. 32 (1999) 387--420.","chicago":"Flammini, Michele, and Christian Scheideler. “Simple, Efficient Routing Schemes for All-Optical Networks.” <i>Theory Comput. Syst.</i> 32, no. 3 (1999): 387--420. <a href=\"https://doi.org/10.1007/s002240000123\">https://doi.org/10.1007/s002240000123</a>.","apa":"Flammini, M., &#38; Scheideler, C. (1999). Simple, Efficient Routing Schemes for All-Optical Networks. <i>Theory Comput. Syst.</i>, <i>32</i>(3), 387--420. <a href=\"https://doi.org/10.1007/s002240000123\">https://doi.org/10.1007/s002240000123</a>","ieee":"M. Flammini and C. Scheideler, “Simple, Efficient Routing Schemes for All-Optical Networks,” <i>Theory Comput. Syst.</i>, vol. 32, no. 3, pp. 387--420, 1999."},"publication":"Theory Comput. Syst.","issue":"3","date_created":"2018-04-03T06:22:14Z","department":[{"_id":"79"},{"_id":"63"}],"type":"journal_article"},{"urn":"21649","_id":"2164","language":[{"iso":"eng"}],"page":"112--121","user_id":"14955","ddc":["040"],"author":[{"last_name":"Berenbrink","first_name":"Petra","full_name":"Berenbrink, Petra"},{"id":"20792","full_name":"Scheideler, Christian","first_name":"Christian","last_name":"Scheideler"}],"year":"1999","title":"Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths","status":"public","has_accepted_license":"1","date_updated":"2022-01-06T06:55:09Z","date_created":"2018-04-03T08:56:06Z","file":[{"file_name":"SODA-99.pdf","access_level":"open_access","file_size":179058,"relation":"main_file","date_updated":"2018-04-12T07:34:50Z","file_id":"2288","content_type":"application/pdf","creator":"florida","date_created":"2018-04-12T07:34:50Z"}],"department":[{"_id":"79"},{"_id":"63"}],"oa":"1","type":"conference","citation":{"ieee":"P. Berenbrink and C. Scheideler, “Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths,” in <i>SODA</i>, 1999, pp. 112--121.","apa":"Berenbrink, P., &#38; Scheideler, C. (1999). Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths. In <i>SODA</i> (pp. 112--121).","chicago":"Berenbrink, Petra, and Christian Scheideler. “Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths.” In <i>SODA</i>, 112--121, 1999.","short":"P. Berenbrink, C. Scheideler, in: SODA, 1999, pp. 112--121.","mla":"Berenbrink, Petra, and Christian Scheideler. “Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths.” <i>SODA</i>, 1999, pp. 112--121.","bibtex":"@inproceedings{Berenbrink_Scheideler_1999, title={Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths}, booktitle={SODA}, author={Berenbrink, Petra and Scheideler, Christian}, year={1999}, pages={112--121} }","ama":"Berenbrink P, Scheideler C. Locally Efficient On-Line Strategies for Routing Packets Along Fixed Paths. In: <i>SODA</i>. ; 1999:112--121."},"file_date_updated":"2018-04-12T07:34:50Z","publication":"SODA"},{"type":"conference","oa":"1","department":[{"_id":"79"},{"_id":"63"}],"file":[{"date_created":"2018-04-12T07:36:27Z","creator":"florida","file_id":"2290","content_type":"application/pdf","relation":"main_file","date_updated":"2018-04-12T07:36:27Z","file_name":"SPAA-99.pdf","access_level":"open_access","file_size":144422}],"date_created":"2018-04-03T08:56:45Z","publication":"SPAA","file_date_updated":"2018-04-12T07:36:27Z","citation":{"apa":"Berenbrink, P., Riedel, M., &#38; Scheideler, C. (1999). Simple Competitive Request Scheduling Strategies. In <i>SPAA</i> (pp. 33--42).","ieee":"P. Berenbrink, M. Riedel, and C. Scheideler, “Simple Competitive Request Scheduling Strategies,” in <i>SPAA</i>, 1999, pp. 33--42.","short":"P. Berenbrink, M. Riedel, C. Scheideler, in: SPAA, 1999, pp. 33--42.","chicago":"Berenbrink, Petra, Marco Riedel, and Christian Scheideler. “Simple Competitive Request Scheduling Strategies.” In <i>SPAA</i>, 33--42, 1999.","mla":"Berenbrink, Petra, et al. “Simple Competitive Request Scheduling Strategies.” <i>SPAA</i>, 1999, pp. 33--42.","ama":"Berenbrink P, Riedel M, Scheideler C. Simple Competitive Request Scheduling Strategies. In: <i>SPAA</i>. ; 1999:33--42.","bibtex":"@inproceedings{Berenbrink_Riedel_Scheideler_1999, title={Simple Competitive Request Scheduling Strategies}, booktitle={SPAA}, author={Berenbrink, Petra and Riedel, Marco and Scheideler, Christian}, year={1999}, pages={33--42} }"},"ddc":["040"],"user_id":"14955","page":"33--42","_id":"2165","urn":"21658","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:55:09Z","has_accepted_license":"1","title":"Simple Competitive Request Scheduling Strategies","year":"1999","status":"public","author":[{"full_name":"Berenbrink, Petra","first_name":"Petra","last_name":"Berenbrink"},{"full_name":"Riedel, Marco","first_name":"Marco","last_name":"Riedel"},{"id":"20792","first_name":"Christian","last_name":"Scheideler","full_name":"Scheideler, Christian"}]},{"citation":{"ieee":"M. Fischer, T. Lukovszki, and M. Ziegler, “Partitioned neighborhood spanners of minimal outdegree,” in <i>Proceedings of the 11th Canadian Conference on Computational Geometry</i>, 1999.","mla":"Fischer, Matthias, et al. “Partitioned Neighborhood Spanners of Minimal Outdegree.” <i>Proceedings of the 11th Canadian Conference on Computational Geometry</i>, 1999.","apa":"Fischer, M., Lukovszki, T., &#38; Ziegler, M. (1999). Partitioned neighborhood spanners of minimal outdegree. In <i>Proceedings of the 11th Canadian Conference on Computational Geometry</i>. Vancouver.","bibtex":"@inproceedings{Fischer_Lukovszki_Ziegler_1999, place={Vancouver}, title={Partitioned neighborhood spanners of minimal outdegree}, booktitle={Proceedings of the 11th Canadian Conference on Computational Geometry}, author={Fischer, Matthias and Lukovszki, Tamas and Ziegler, Martin}, year={1999} }","chicago":"Fischer, Matthias, Tamas Lukovszki, and Martin Ziegler. “Partitioned Neighborhood Spanners of Minimal Outdegree.” In <i>Proceedings of the 11th Canadian Conference on Computational Geometry</i>. Vancouver, 1999.","ama":"Fischer M, Lukovszki T, Ziegler M. Partitioned neighborhood spanners of minimal outdegree. In: <i>Proceedings of the 11th Canadian Conference on Computational Geometry</i>. Vancouver; 1999.","short":"M. Fischer, T. Lukovszki, M. Ziegler, in: Proceedings of the 11th Canadian Conference on Computational Geometry, Vancouver, 1999."},"file_date_updated":"2020-08-27T11:14:43Z","place":"Vancouver","has_accepted_license":"1","status":"public","ddc":["000"],"user_id":"15415","_id":"17864","abstract":[{"text":"A geometric spanner with vertex set P in Rd is a sparse approximation of the complete Euclidean graph determined by P. We introduce the notion of partitioned neighborhood graphs (PNGs), unifying and generalizing most constructions of spanners treated in literature. Two important parameters characterizing their properties are the outdegree k in N and the stretch factor f>1 describing the quality of approximation. PNGs have been throughly investigated with respect to small values of f. We present in this work results about small values of k. The aim of minimizing k rather than f arises from two observations:\r\n\r\n* k determines the amount of space required for storing PNGs.\r\n\r\n* Many algorithms employing a (previously constructed) spanner have running times depending on its outdegree.\r\n\r\nOur results include, for fixed dimensions d as well as asymptotically, upper and lower bounds on this optimal value of k. The upper bounds are shown constructively and yield efficient algorithms for actually computing the corresponding PNGs even in degenerate cases.\r\n","lang":"eng"}],"related_material":{"link":[{"url":"http://www.cccg.ca/proceedings/1999/fp36.pdf","relation":"confirmation"}]},"publication":"Proceedings of the 11th Canadian Conference on Computational Geometry","department":[{"_id":"63"}],"type":"conference","date_created":"2020-08-12T13:12:00Z","file":[{"content_type":"application/pdf","success":1,"file_id":"18438","file_size":209419,"access_level":"closed","file_name":"hni-id-729.pdf","date_updated":"2020-08-27T11:14:43Z","relation":"main_file","date_created":"2020-08-27T11:14:43Z","creator":"koala"}],"date_updated":"2022-01-06T06:53:21Z","author":[{"full_name":"Fischer, Matthias","last_name":"Fischer","first_name":"Matthias","id":"146"},{"first_name":"Tamas","last_name":"Lukovszki","full_name":"Lukovszki, Tamas"},{"first_name":"Martin","last_name":"Ziegler","full_name":"Ziegler, Martin"}],"year":"1999","title":"Partitioned neighborhood spanners of minimal outdegree","language":[{"iso":"eng"}]},{"publication":"Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG'99)","citation":{"ieee":"C. Sohler, “Fast Reconstruction of Delaunay Triangulations,” in <i>Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99)</i>, 1999, pp. 136–141.","mla":"Sohler, Christian. “Fast Reconstruction of Delaunay Triangulations.” <i>Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99)</i>, 1999, pp. 136–41.","apa":"Sohler, C. (1999). Fast Reconstruction of Delaunay Triangulations. In <i>Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99)</i> (pp. 136–141).","bibtex":"@inproceedings{Sohler_1999, title={Fast Reconstruction of Delaunay Triangulations}, booktitle={Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99)}, author={Sohler, Christian}, year={1999}, pages={136–141} }","ama":"Sohler C. Fast Reconstruction of Delaunay Triangulations. In: <i>Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99)</i>. ; 1999:136-141.","short":"C. Sohler, in: Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99), 1999, pp. 136–141.","chicago":"Sohler, Christian. “Fast Reconstruction of Delaunay Triangulations.” In <i>Proceedings of the 11th Canadian Conference on Computational Geometry ( CCCG’99)</i>, 136–41, 1999."},"abstract":[{"text":"We present a new ( O(n) ) algorithm to compute good orders for the point set of a Delaunay triangulation of ( n ) points in the plane. Such a good order makes reconstruction in ( O(n) ) time with a simple algorithm possible. In contrast to the algorithm of Snoeyink and van Kreveld cite1, which is based on independent sets, our algorithm uses a breadth first search (BFS) to obtain these orders. Both approaches construct such orders by repeatedly removing a constant fraction of vertices from the current triangulation. The advantage of the BFS approach is that we can give significantly better bounds on the fraction of removed points in a phase of the algorithm. We can prove that a single phase of our algorithm removes at least ( frac13 ) of the points, even if we restrict the degree of the points (at the time they are removed) to 6. We implemented and compared both algorithms. Our algorithms is slightly faster and achieves about 15% better vertex data compression when using a simple variable length code to encode the differences between two consecutive vertices of the given order.","lang":"eng"}],"date_created":"2020-09-01T10:43:10Z","type":"conference","department":[{"_id":"63"}],"status":"public","title":"Fast Reconstruction of Delaunay Triangulations","year":"1999","author":[{"first_name":"Christian","last_name":"Sohler","full_name":"Sohler, Christian"}],"date_updated":"2022-01-06T06:53:51Z","page":"136-141","language":[{"iso":"eng"}],"_id":"18747","user_id":"15415"},{"citation":{"mla":"Lukovszki, Tamás. <i>New Results on Geometric Spanners and Their Applications</i>. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 1999.","bibtex":"@book{Lukovszki_1999, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, title={New Results on Geometric Spanners and Their Applications}, volume={63}, publisher={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, author={Lukovszki, Tamás}, year={1999}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn} }","ama":"Lukovszki T. <i>New Results on Geometric Spanners and Their Applications</i>. Vol 63. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn; 1999.","ieee":"T. Lukovszki, <i>New Results on Geometric Spanners and Their Applications</i>, vol. 63. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 1999.","apa":"Lukovszki, T. (1999). <i>New Results on Geometric Spanners and Their Applications</i> (Vol. 63). Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn.","short":"T. Lukovszki, New Results on Geometric Spanners and Their Applications, Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 1999.","chicago":"Lukovszki, Tamás. <i>New Results on Geometric Spanners and Their Applications</i>. Vol. 63. Verlagsschriftenreihe Des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 1999."},"supervisor":[{"id":"15523","full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","last_name":"Meyer auf der Heide"}],"file_date_updated":"2020-09-22T13:12:09Z","volume":63,"user_id":"5786","ddc":["000"],"_id":"18942","publisher":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","has_accepted_license":"1","status":"public","department":[{"_id":"63"},{"_id":"26"}],"type":"dissertation","date_created":"2020-09-03T11:41:51Z","file":[{"creator":"koala","date_created":"2020-09-22T13:12:09Z","file_size":1077329,"access_level":"closed","file_name":"pub-hni-495.pdf","date_updated":"2020-09-22T13:12:09Z","relation":"main_file","success":1,"content_type":"application/pdf","file_id":"19641"}],"series_title":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","language":[{"iso":"eng"}],"intvolume":"        63","date_updated":"2022-01-06T06:53:55Z","publication_identifier":{"isbn":["3-931466-62-0 "]},"author":[{"first_name":"Tamás","last_name":"Lukovszki","full_name":"Lukovszki, Tamás"}],"title":"New Results on Geometric Spanners and Their Applications","year":"1999"},{"date_updated":"2022-01-06T06:53:55Z","publication_status":"published","status":"public","title":"New Results on Fault Tolerant Geometric Spanners","year":"1999","publication_identifier":{"issn":["0302-9743"],"isbn":["9783540662792","9783540484479"]},"author":[{"first_name":"Tamás","last_name":"Lukovszki","full_name":"Lukovszki, Tamás"}],"doi":"10.1007/3-540-48447-7_20","user_id":"15415","page":"193-204","_id":"18959","language":[{"iso":"eng"}],"abstract":[{"text":"We investigate the problem of constructing spanners for a given set of points that are tolerant for edge/vertex faults. Let S be a set of $n$ points in the d-dimensional space and let k be an integer number. A k-edge/vertex fault tolerant spanner for S has the property that after the deletion of k arbitrary edges/vertices each pair of points in the remaining graph is still connected by a short path.<br><br>Recently it was shown that for each set S of n points there exists a k-edge/vertex fault tolerant spanner with O(k^2 n) edges which can be constructed in O(n log n + k^2 n) time. Furthermore, it was shown that for each set S of n points there exists a k-edge/vertex fault tolerant spanner whose degree is bouned by O(c^k+1) for some constant c.<br><br>Our first contribution is a construction of a k-vertex fault tolerant spanner with O(kn) edges which is a tight bound. The computation takes O(n log^d-1 n + k n log log n) time. Then we show that the same k-vertex fault tolerant spanner is also k-edge fault tolerant. Thereafter, we construct a k-vertex fault tolerant spanner with O(k^2 n) edges whose degree is bounded by O(k^2). Finally, we give a more natural but stronger definition of k-edge fault tolerance which not necessarily can be satisfied if one allows only simple edges between the points of S. We investigate the question whether Steiner points help. We answer this question affirmatively and prove Theta(kn) bounds on the number of Steiner points and on the number of edges in such spanners.","lang":"eng"}],"publication":"Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS'99), LNCS","citation":{"ama":"Lukovszki T. New Results on Fault Tolerant Geometric Spanners. In: <i>Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS</i>. ; 1999:193-204. doi:<a href=\"https://doi.org/10.1007/3-540-48447-7_20\">10.1007/3-540-48447-7_20</a>","bibtex":"@inproceedings{Lukovszki_1999, title={New Results on Fault Tolerant Geometric Spanners}, DOI={<a href=\"https://doi.org/10.1007/3-540-48447-7_20\">10.1007/3-540-48447-7_20</a>}, booktitle={Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS}, author={Lukovszki, Tamás}, year={1999}, pages={193–204} }","mla":"Lukovszki, Tamás. “New Results on Fault Tolerant Geometric Spanners.” <i>Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS</i>, 1999, pp. 193–204, doi:<a href=\"https://doi.org/10.1007/3-540-48447-7_20\">10.1007/3-540-48447-7_20</a>.","short":"T. Lukovszki, in: Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS, 1999, pp. 193–204.","chicago":"Lukovszki, Tamás. “New Results on Fault Tolerant Geometric Spanners.” In <i>Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS</i>, 193–204, 1999. <a href=\"https://doi.org/10.1007/3-540-48447-7_20\">https://doi.org/10.1007/3-540-48447-7_20</a>.","apa":"Lukovszki, T. (1999). New Results on Fault Tolerant Geometric Spanners. In <i>Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS</i> (pp. 193–204). <a href=\"https://doi.org/10.1007/3-540-48447-7_20\">https://doi.org/10.1007/3-540-48447-7_20</a>","ieee":"T. Lukovszki, “New Results on Fault Tolerant Geometric Spanners,” in <i>Proceedings of the 6th Workshop on Algorithms an Data Structures (WADS’99), LNCS</i>, 1999, pp. 193–204."},"type":"conference","department":[{"_id":"63"}],"date_created":"2020-09-03T13:03:45Z"},{"date_created":"2020-09-03T14:27:14Z","department":[{"_id":"63"}],"type":"conference","citation":{"ieee":"C. Krick, F. Meyer auf der Heide, H. Räcke, B. Vöcking, and M. Westermann, “Data management in networks: experimental evaluation of a provably good strategy,” in <i>Proceedings of the eleventh annual ACM symposium on Parallel algorithms and architectures  - SPAA ’99</i>, 1999, pp. 165–174.","apa":"Krick, C., Meyer auf der Heide, F., Räcke, H., Vöcking, B., &#38; Westermann, M. (1999). Data management in networks: experimental evaluation of a provably good strategy. In <i>Proceedings of the eleventh annual ACM symposium on Parallel algorithms and architectures  - SPAA ’99</i> (pp. 165–174). <a href=\"https://doi.org/10.1145/305619.305637\">https://doi.org/10.1145/305619.305637</a>","short":"C. Krick, F. Meyer auf der Heide, H. Räcke, B. Vöcking, M. Westermann, in: Proceedings of the Eleventh Annual ACM Symposium on Parallel Algorithms and Architectures  - SPAA ’99, 1999, pp. 165–174.","chicago":"Krick, Christof, Friedhelm Meyer auf der Heide, Harald Räcke, Berthold Vöcking, and Matthias Westermann. “Data Management in Networks: Experimental Evaluation of a Provably Good Strategy.” In <i>Proceedings of the Eleventh Annual ACM Symposium on Parallel Algorithms and Architectures  - SPAA ’99</i>, 165–74, 1999. <a href=\"https://doi.org/10.1145/305619.305637\">https://doi.org/10.1145/305619.305637</a>.","mla":"Krick, Christof, et al. “Data Management in Networks: Experimental Evaluation of a Provably Good Strategy.” <i>Proceedings of the Eleventh Annual ACM Symposium on Parallel Algorithms and Architectures  - SPAA ’99</i>, 1999, pp. 165–74, doi:<a href=\"https://doi.org/10.1145/305619.305637\">10.1145/305619.305637</a>.","bibtex":"@inproceedings{Krick_Meyer auf der Heide_Räcke_Vöcking_Westermann_1999, title={Data management in networks: experimental evaluation of a provably good strategy}, DOI={<a href=\"https://doi.org/10.1145/305619.305637\">10.1145/305619.305637</a>}, booktitle={Proceedings of the eleventh annual ACM symposium on Parallel algorithms and architectures  - SPAA ’99}, author={Krick, Christof and Meyer auf der Heide, Friedhelm and Räcke, Harald and Vöcking, Berthold and Westermann, Matthias}, year={1999}, pages={165–174} }","ama":"Krick C, Meyer auf der Heide F, Räcke H, Vöcking B, Westermann M. Data management in networks: experimental evaluation of a provably good strategy. In: <i>Proceedings of the Eleventh Annual ACM Symposium on Parallel Algorithms and Architectures  - SPAA ’99</i>. ; 1999:165-174. doi:<a href=\"https://doi.org/10.1145/305619.305637\">10.1145/305619.305637</a>"},"publication":"Proceedings of the eleventh annual ACM symposium on Parallel algorithms and architectures  - SPAA '99","_id":"18965","language":[{"iso":"eng"}],"page":"165-174","user_id":"15415","doi":"10.1145/305619.305637","author":[{"full_name":"Krick, Christof","last_name":"Krick","first_name":"Christof"},{"first_name":"Friedhelm","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm","id":"15523"},{"full_name":"Räcke, Harald","first_name":"Harald","last_name":"Räcke"},{"last_name":"Vöcking","first_name":"Berthold","full_name":"Vöcking, Berthold"},{"first_name":"Matthias","last_name":"Westermann","full_name":"Westermann, Matthias"}],"publication_identifier":{"isbn":["1581131240"]},"year":"1999","status":"public","title":"Data management in networks: experimental evaluation of a provably good strategy","publication_status":"published","date_updated":"2022-01-06T06:53:56Z"},{"date_created":"2020-08-28T14:20:42Z","department":[{"_id":"63"}],"type":"conference","citation":{"ama":"Sohler C. Generating Random Star-Shaped Polygons. In: <i>Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99)</i>. ; 1999:174-177.","bibtex":"@inproceedings{Sohler_1999, title={Generating Random Star-Shaped Polygons}, booktitle={Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99)}, author={Sohler, Christian}, year={1999}, pages={174–177} }","mla":"Sohler, Christian. “Generating Random Star-Shaped Polygons.” <i>Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99)</i>, 1999, pp. 174–77.","short":"C. Sohler, in: Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99), 1999, pp. 174–177.","chicago":"Sohler, Christian. “Generating Random Star-Shaped Polygons.” In <i>Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99)</i>, 174–77, 1999.","apa":"Sohler, C. (1999). Generating Random Star-Shaped Polygons. In <i>Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99)</i> (pp. 174–177).","ieee":"C. Sohler, “Generating Random Star-Shaped Polygons,” in <i>Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG’99)</i>, 1999, pp. 174–177."},"publication":"Proceedings of the 11th Canadian Conference on Computational Geometry ('CCCG'99)","abstract":[{"text":"In this paper we deal with two problems on star-shaped polygons. First, we present a Las-Vegas algorithm that uniformly at random creates a star-shaped polygon whose vertices are given by a point set ( S ) of ( n ) points in the plane that does not admit degenerate star-shaped polygons. The expected running time of the algorithm is ( O(n^2log n) ) and it uses ( O(n) ) memory. We call a star-shaped polygon degenerate if its kernel has 0 area.<br><br>Secondly, we show how to count all star-shaped polygons whose vertices are a subset of ( S ) in ( O(n^5log n) ) time and ( O(n) ) space. The algorithm can also be used for random uniform generation. We also present lower and upper bounds on the number of star-shaped polygons.","lang":"eng"}],"language":[{"iso":"eng"}],"_id":"18576","page":"174-177","user_id":"15415","author":[{"full_name":"Sohler, Christian","last_name":"Sohler","first_name":"Christian"}],"year":"1999","title":"Generating Random Star-Shaped Polygons","status":"public","date_updated":"2022-01-06T06:53:40Z"},{"user_id":"14955","ddc":["040"],"language":[{"iso":"eng"}],"_id":"2210","urn":"22109","page":"2-12","has_accepted_license":"1","date_updated":"2022-01-06T06:55:26Z","author":[{"first_name":"Petra","last_name":"Berenbrink","full_name":"Berenbrink, Petra"},{"first_name":"Marco","last_name":"Riedel","full_name":"Riedel, Marco"},{"id":"20792","full_name":"Scheideler, Christian","first_name":"Christian","last_name":"Scheideler"}],"status":"public","title":"Design of the PRESTO Multimedia Storage Network (Extended Abstract)","year":"1999","department":[{"_id":"79"},{"_id":"63"}],"oa":"1","type":"conference","date_created":"2018-04-05T07:00:11Z","file":[{"file_name":"CDMLarge-99.pdf","access_level":"open_access","file_size":211926,"relation":"main_file","date_updated":"2018-04-12T08:34:00Z","file_id":"2294","content_type":"application/pdf","creator":"florida","date_created":"2018-04-12T08:34:00Z"}],"citation":{"apa":"Berenbrink, P., Riedel, M., &#38; Scheideler, C. (1999). Design of the PRESTO Multimedia Storage Network (Extended Abstract). In <i>International Workshop on Communication and Data Management in Large Networks (CDMLarge)</i> (pp. 2–12).","ieee":"P. Berenbrink, M. Riedel, and C. Scheideler, “Design of the PRESTO Multimedia Storage Network (Extended Abstract),” in <i>International Workshop on Communication and Data Management in Large Networks (CDMLarge)</i>, 1999, pp. 2–12.","short":"P. Berenbrink, M. Riedel, C. Scheideler, in: International Workshop on Communication and Data Management in Large Networks (CDMLarge), 1999, pp. 2–12.","chicago":"Berenbrink, Petra, Marco Riedel, and Christian Scheideler. “Design of the PRESTO Multimedia Storage Network (Extended Abstract).” In <i>International Workshop on Communication and Data Management in Large Networks (CDMLarge)</i>, 2–12, 1999.","mla":"Berenbrink, Petra, et al. “Design of the PRESTO Multimedia Storage Network (Extended Abstract).” <i>International Workshop on Communication and Data Management in Large Networks (CDMLarge)</i>, 1999, pp. 2–12.","ama":"Berenbrink P, Riedel M, Scheideler C. Design of the PRESTO Multimedia Storage Network (Extended Abstract). In: <i>International Workshop on Communication and Data Management in Large Networks (CDMLarge)</i>. ; 1999:2-12.","bibtex":"@inproceedings{Berenbrink_Riedel_Scheideler_1999, title={Design of the PRESTO Multimedia Storage Network (Extended Abstract)}, booktitle={International Workshop on Communication and Data Management in Large Networks (CDMLarge)}, author={Berenbrink, Petra and Riedel, Marco and Scheideler, Christian}, year={1999}, pages={2–12} }"},"file_date_updated":"2018-04-12T08:34:00Z","publication":"International Workshop on Communication and Data Management in Large Networks (CDMLarge)"},{"date_updated":"2022-01-06T06:55:10Z","has_accepted_license":"1","year":"1999","title":"From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols","status":"public","author":[{"full_name":"Scheideler, Christian","first_name":"Christian","last_name":"Scheideler","id":"20792"},{"full_name":"Vöcking, Berthold","last_name":"Vöcking","first_name":"Berthold"}],"ddc":["040"],"user_id":"14955","page":"215--224","_id":"2166","urn":"21668","language":[{"iso":"eng"}],"publication":"STOC","file_date_updated":"2018-04-12T07:35:46Z","citation":{"ama":"Scheideler C, Vöcking B. From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols. In: <i>STOC</i>. ; 1999:215--224.","bibtex":"@inproceedings{Scheideler_Vöcking_1999, title={From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols}, booktitle={STOC}, author={Scheideler, Christian and Vöcking, Berthold}, year={1999}, pages={215--224} }","mla":"Scheideler, Christian, and Berthold Vöcking. “From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols.” <i>STOC</i>, 1999, pp. 215--224.","short":"C. Scheideler, B. Vöcking, in: STOC, 1999, pp. 215--224.","chicago":"Scheideler, Christian, and Berthold Vöcking. “From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols.” In <i>STOC</i>, 215--224, 1999.","apa":"Scheideler, C., &#38; Vöcking, B. (1999). From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols. In <i>STOC</i> (pp. 215--224).","ieee":"C. Scheideler and B. Vöcking, “From Static to Dynamic Routing: Efficient Transformations of Store-and-Forward Protocols,” in <i>STOC</i>, 1999, pp. 215--224."},"type":"conference","oa":"1","department":[{"_id":"79"},{"_id":"63"}],"file":[{"date_created":"2018-04-12T07:35:46Z","creator":"florida","file_id":"2289","content_type":"application/pdf","relation":"main_file","date_updated":"2018-04-12T07:35:46Z","file_name":"STOC-99.pdf","access_level":"open_access","file_size":227305}],"date_created":"2018-04-03T08:57:30Z"},{"user_id":"15415","doi":"10.1006/jagm.1998.0980","language":[{"iso":"eng"}],"_id":"16501","page":"105-131","publication_status":"published","date_updated":"2022-01-06T06:52:52Z","author":[{"id":"15523","full_name":"Meyer auf der Heide, Friedhelm","last_name":"Meyer auf der Heide","first_name":"Friedhelm"},{"last_name":"Vöcking","first_name":"Berthold","full_name":"Vöcking, Berthold"}],"publication_identifier":{"issn":["0196-6774"]},"title":"Shortest-Path Routing in Arbitrary Networks","year":"1999","status":"public","department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-04-14T11:50:52Z","citation":{"ama":"Meyer auf der Heide F, Vöcking B. Shortest-Path Routing in Arbitrary Networks. <i>Journal of Algorithms</i>. 1999:105-131. doi:<a href=\"https://doi.org/10.1006/jagm.1998.0980\">10.1006/jagm.1998.0980</a>","bibtex":"@article{Meyer auf der Heide_Vöcking_1999, title={Shortest-Path Routing in Arbitrary Networks}, DOI={<a href=\"https://doi.org/10.1006/jagm.1998.0980\">10.1006/jagm.1998.0980</a>}, journal={Journal of Algorithms}, author={Meyer auf der Heide, Friedhelm and Vöcking, Berthold}, year={1999}, pages={105–131} }","mla":"Meyer auf der Heide, Friedhelm, and Berthold Vöcking. “Shortest-Path Routing in Arbitrary Networks.” <i>Journal of Algorithms</i>, 1999, pp. 105–31, doi:<a href=\"https://doi.org/10.1006/jagm.1998.0980\">10.1006/jagm.1998.0980</a>.","chicago":"Meyer auf der Heide, Friedhelm, and Berthold Vöcking. “Shortest-Path Routing in Arbitrary Networks.” <i>Journal of Algorithms</i>, 1999, 105–31. <a href=\"https://doi.org/10.1006/jagm.1998.0980\">https://doi.org/10.1006/jagm.1998.0980</a>.","short":"F. Meyer auf der Heide, B. Vöcking, Journal of Algorithms (1999) 105–131.","apa":"Meyer auf der Heide, F., &#38; Vöcking, B. (1999). Shortest-Path Routing in Arbitrary Networks. <i>Journal of Algorithms</i>, 105–131. <a href=\"https://doi.org/10.1006/jagm.1998.0980\">https://doi.org/10.1006/jagm.1998.0980</a>","ieee":"F. Meyer auf der Heide and B. Vöcking, “Shortest-Path Routing in Arbitrary Networks,” <i>Journal of Algorithms</i>, pp. 105–131, 1999."},"publication":"Journal of Algorithms"},{"publication_status":"published","date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Berenbrink","first_name":"P.","full_name":"Berenbrink, P."},{"last_name":"Meyer auf der Heide","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm","id":"15523"},{"last_name":"Schröder","first_name":"K.","full_name":"Schröder, K."}],"publication_identifier":{"issn":["1432-4350","1433-0490"]},"year":"1999","title":"Allocating Weighted Jobs in Parallel","status":"public","user_id":"15415","doi":"10.1007/s002240000119","language":[{"iso":"eng"}],"_id":"16502","page":"281-300","citation":{"apa":"Berenbrink, P., Meyer auf der Heide, F., &#38; Schröder, K. (1999). Allocating Weighted Jobs in Parallel. <i>Theory of Computing Systems</i>, 281–300. <a href=\"https://doi.org/10.1007/s002240000119\">https://doi.org/10.1007/s002240000119</a>","ieee":"P. Berenbrink, F. Meyer auf der Heide, and K. Schröder, “Allocating Weighted Jobs in Parallel,” <i>Theory of Computing Systems</i>, pp. 281–300, 1999.","short":"P. Berenbrink, F. Meyer auf der Heide, K. Schröder, Theory of Computing Systems (1999) 281–300.","chicago":"Berenbrink, P., Friedhelm Meyer auf der Heide, and K. Schröder. “Allocating Weighted Jobs in Parallel.” <i>Theory of Computing Systems</i>, 1999, 281–300. <a href=\"https://doi.org/10.1007/s002240000119\">https://doi.org/10.1007/s002240000119</a>.","mla":"Berenbrink, P., et al. “Allocating Weighted Jobs in Parallel.” <i>Theory of Computing Systems</i>, 1999, pp. 281–300, doi:<a href=\"https://doi.org/10.1007/s002240000119\">10.1007/s002240000119</a>.","ama":"Berenbrink P, Meyer auf der Heide F, Schröder K. Allocating Weighted Jobs in Parallel. <i>Theory of Computing Systems</i>. 1999:281-300. doi:<a href=\"https://doi.org/10.1007/s002240000119\">10.1007/s002240000119</a>","bibtex":"@article{Berenbrink_Meyer auf der Heide_Schröder_1999, title={Allocating Weighted Jobs in Parallel}, DOI={<a href=\"https://doi.org/10.1007/s002240000119\">10.1007/s002240000119</a>}, journal={Theory of Computing Systems}, author={Berenbrink, P. and Meyer auf der Heide, Friedhelm and Schröder, K.}, year={1999}, pages={281–300} }"},"publication":"Theory of Computing Systems","department":[{"_id":"63"}],"type":"journal_article","date_created":"2020-04-14T12:00:32Z"},{"language":[{"iso":"eng"}],"_id":"17052","user_id":"15415","doi":"10.1007/978-3-662-01069-3_47","publication_identifier":{"isbn":["9783540664505","9783662010693"],"issn":["1431-472X"]},"author":[{"last_name":"Mayr","first_name":"E. W.","full_name":"Mayr, E. W."},{"first_name":"Friedhelm","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm","id":"15523"},{"full_name":"Wanka, Rolf","last_name":"Wanka","first_name":"Rolf"}],"title":"International Workshop on Communication and Data Management in Large Networks","year":"1999","status":"public","publication_status":"published","date_updated":"2022-01-06T06:53:03Z","date_created":"2020-05-20T13:16:56Z","place":"Berlin, Heidelberg","department":[{"_id":"63"}],"type":"book_chapter","citation":{"mla":"Mayr, E. W., et al. “International Workshop on Communication and Data Management in Large Networks.” <i>Informatik Aktuell</i>, 1999, doi:<a href=\"https://doi.org/10.1007/978-3-662-01069-3_47\">10.1007/978-3-662-01069-3_47</a>.","bibtex":"@inbook{Mayr_Meyer auf der Heide_Wanka_1999, place={Berlin, Heidelberg}, title={International Workshop on Communication and Data Management in Large Networks}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-01069-3_47\">10.1007/978-3-662-01069-3_47</a>}, booktitle={Informatik aktuell}, author={Mayr, E. W. and Meyer auf der Heide, Friedhelm and Wanka, Rolf}, year={1999} }","ama":"Mayr EW, Meyer auf der Heide F, Wanka R. International Workshop on Communication and Data Management in Large Networks. In: <i>Informatik Aktuell</i>. ; 1999. doi:<a href=\"https://doi.org/10.1007/978-3-662-01069-3_47\">10.1007/978-3-662-01069-3_47</a>","ieee":"E. W. Mayr, F. Meyer auf der Heide, and R. Wanka, “International Workshop on Communication and Data Management in Large Networks,” in <i>Informatik aktuell</i>, Berlin, Heidelberg, 1999.","apa":"Mayr, E. W., Meyer auf der Heide, F., &#38; Wanka, R. (1999). International Workshop on Communication and Data Management in Large Networks. In <i>Informatik aktuell</i>. <a href=\"https://doi.org/10.1007/978-3-662-01069-3_47\">https://doi.org/10.1007/978-3-662-01069-3_47</a>","short":"E.W. Mayr, F. Meyer auf der Heide, R. Wanka, in: Informatik Aktuell, Berlin, Heidelberg, 1999.","chicago":"Mayr, E. W., Friedhelm Meyer auf der Heide, and Rolf Wanka. “International Workshop on Communication and Data Management in Large Networks.” In <i>Informatik Aktuell</i>. 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