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Coloring non-uniform hypergraphs: a new algorithmic approach to the general Lovász local lemma. In <i>SODA</i> (pp. 30--39).","bibtex":"@inproceedings{Czumaj_Scheideler_2000, title={Coloring non-uniform hypergraphs: a new algorithmic approach to the general Lovász local lemma}, booktitle={SODA}, author={Czumaj, Artur and Scheideler, Christian}, year={2000}, pages={30--39} }","short":"A. Czumaj, C. Scheideler, in: SODA, 2000, pp. 30--39.","mla":"Czumaj, Artur, and Christian Scheideler. “Coloring Non-Uniform Hypergraphs: A New Algorithmic Approach to the General Lovász Local Lemma.” <i>SODA</i>, 2000, pp. 30--39.","ama":"Czumaj A, Scheideler C. Coloring non-uniform hypergraphs: a new algorithmic approach to the general Lovász local lemma. In: <i>SODA</i>. ; 2000:30--39.","ieee":"A. Czumaj and C. Scheideler, “Coloring non-uniform hypergraphs: a new algorithmic approach to the general Lovász local lemma,” in <i>SODA</i>, 2000, pp. 30--39.","chicago":"Czumaj, Artur, and Christian Scheideler. “Coloring Non-Uniform Hypergraphs: A New Algorithmic Approach to the General Lovász Local Lemma.” In <i>SODA</i>, 30--39, 2000."},"year":"2000"},{"year":"2000","citation":{"bibtex":"@article{Czumaj_Scheideler_2000, title={Coloring nonuniform hypergraphs: A new algorithmic approach to the general Lovász local lemma}, volume={17}, number={3–4}, journal={Random Struct. Algorithms}, author={Czumaj, Artur and Scheideler, Christian}, year={2000}, pages={213--237} }","mla":"Czumaj, Artur, and Christian Scheideler. “Coloring Nonuniform Hypergraphs: A New Algorithmic Approach to the General Lovász Local Lemma.” <i>Random Struct. Algorithms</i>, vol. 17, no. 3–4, 2000, pp. 213--237.","short":"A. Czumaj, C. Scheideler, Random Struct. Algorithms 17 (2000) 213--237.","apa":"Czumaj, A., &#38; Scheideler, C. (2000). Coloring nonuniform hypergraphs: A new algorithmic approach to the general Lovász local lemma. <i>Random Struct. Algorithms</i>, <i>17</i>(3–4), 213--237.","ama":"Czumaj A, Scheideler C. Coloring nonuniform hypergraphs: A new algorithmic approach to the general Lovász local lemma. <i>Random Struct Algorithms</i>. 2000;17(3-4):213--237.","ieee":"A. Czumaj and C. Scheideler, “Coloring nonuniform hypergraphs: A new algorithmic approach to the general Lovász local lemma,” <i>Random Struct. Algorithms</i>, vol. 17, no. 3–4, pp. 213--237, 2000.","chicago":"Czumaj, Artur, and Christian Scheideler. “Coloring Nonuniform Hypergraphs: A New Algorithmic Approach to the General Lovász Local Lemma.” <i>Random Struct. Algorithms</i> 17, no. 3–4 (2000): 213--237."},"intvolume":"        17","page":"213--237","issue":"3-4","title":"Coloring nonuniform hypergraphs: A new algorithmic approach to the general Lovász local lemma","date_updated":"2022-01-06T06:55:00Z","date_created":"2018-04-03T06:17:52Z","author":[{"last_name":"Czumaj","full_name":"Czumaj, Artur","first_name":"Artur"},{"id":"20792","full_name":"Scheideler, Christian","last_name":"Scheideler","first_name":"Christian"}],"volume":17,"status":"public","type":"journal_article","publication":"Random Struct. Algorithms","language":[{"iso":"eng"}],"_id":"2148","user_id":"14955","department":[{"_id":"79"},{"_id":"63"}]},{"oa":"1","date_updated":"2022-01-06T06:55:02Z","author":[{"first_name":"André","full_name":"Brinkmann, André","last_name":"Brinkmann"},{"full_name":"Salzwedel, Kay","last_name":"Salzwedel","first_name":"Kay"},{"first_name":"Christian","last_name":"Scheideler","id":"20792","full_name":"Scheideler, Christian"}],"date_created":"2018-04-03T06:18:45Z","title":"Efficient, distributed data placement strategies for storage area networks (extended abstract)","has_accepted_license":"1","year":"2000","citation":{"ama":"Brinkmann A, Salzwedel K, Scheideler C. Efficient, distributed data placement strategies for storage area networks (extended abstract). In: <i>SPAA</i>. ; 2000:119--128.","chicago":"Brinkmann, André, Kay Salzwedel, and Christian Scheideler. “Efficient, Distributed Data Placement Strategies for Storage Area Networks (Extended Abstract).” In <i>SPAA</i>, 119--128, 2000.","ieee":"A. Brinkmann, K. Salzwedel, and C. Scheideler, “Efficient, distributed data placement strategies for storage area networks (extended abstract),” in <i>SPAA</i>, 2000, pp. 119--128.","short":"A. Brinkmann, K. Salzwedel, C. Scheideler, in: SPAA, 2000, pp. 119--128.","bibtex":"@inproceedings{Brinkmann_Salzwedel_Scheideler_2000, title={Efficient, distributed data placement strategies for storage area networks (extended abstract)}, booktitle={SPAA}, author={Brinkmann, André and Salzwedel, Kay and Scheideler, Christian}, year={2000}, pages={119--128} }","mla":"Brinkmann, André, et al. “Efficient, Distributed Data Placement Strategies for Storage Area Networks (Extended Abstract).” <i>SPAA</i>, 2000, pp. 119--128.","apa":"Brinkmann, A., Salzwedel, K., &#38; Scheideler, C. (2000). Efficient, distributed data placement strategies for storage area networks (extended abstract). In <i>SPAA</i> (pp. 119--128)."},"page":"119--128","_id":"2149","user_id":"14955","department":[{"_id":"79"},{"_id":"63"}],"ddc":["040"],"language":[{"iso":"eng"}],"file_date_updated":"2018-04-12T08:38:13Z","type":"conference","publication":"SPAA","urn":"21493","file":[{"content_type":"application/pdf","relation":"main_file","date_created":"2018-04-12T08:38:13Z","creator":"florida","date_updated":"2018-04-12T08:38:13Z","file_id":"2297","file_name":"spaa_00.pdf","access_level":"open_access","file_size":222176}],"status":"public"},{"publication":"STOC","type":"conference","urn":"21509","status":"public","file":[{"relation":"main_file","content_type":"application/pdf","file_size":190083,"file_name":"STOC-00.pdf","access_level":"open_access","file_id":"2300","date_updated":"2018-04-12T08:49:23Z","creator":"florida","date_created":"2018-04-12T08:49:23Z"}],"_id":"2150","department":[{"_id":"79"},{"_id":"63"}],"user_id":"14955","ddc":["040"],"language":[{"iso":"eng"}],"file_date_updated":"2018-04-12T08:49:23Z","has_accepted_license":"1","year":"2000","page":"38--47","citation":{"chicago":"Czumaj, Artur, and Christian Scheideler. “A New Algorithm Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems (Extended Abstract).” In <i>STOC</i>, 38--47. ACM, 2000.","ieee":"A. Czumaj and C. Scheideler, “A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract),” in <i>STOC</i>, 2000, pp. 38--47.","ama":"Czumaj A, Scheideler C. A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract). In: <i>STOC</i>. ACM; 2000:38--47.","apa":"Czumaj, A., &#38; Scheideler, C. (2000). A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract). In <i>STOC</i> (pp. 38--47). ACM.","mla":"Czumaj, Artur, and Christian Scheideler. “A New Algorithm Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems (Extended Abstract).” <i>STOC</i>, ACM, 2000, pp. 38--47.","bibtex":"@inproceedings{Czumaj_Scheideler_2000, title={A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract)}, booktitle={STOC}, publisher={ACM}, author={Czumaj, Artur and Scheideler, Christian}, year={2000}, pages={38--47} }","short":"A. Czumaj, C. Scheideler, in: STOC, ACM, 2000, pp. 38--47."},"publisher":"ACM","oa":"1","date_updated":"2022-01-06T06:55:02Z","date_created":"2018-04-03T06:21:11Z","author":[{"last_name":"Czumaj","full_name":"Czumaj, Artur","first_name":"Artur"},{"last_name":"Scheideler","id":"20792","full_name":"Scheideler, Christian","first_name":"Christian"}],"title":"A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract)"},{"abstract":[{"lang":"eng","text":"We present a new output-sensitive rendering algorithm, the randomized z-buffer algorithm. It renders an image of a three dimensional scene of triangular primitives by reconstruction from a random sample of surface points which are chosen with a probability proportional to the projected area of the objects. The approach is independent of mesh connectivity and topology. It leads to a rendering time that grows only logarithmically with the numbers of triangles in the scene and to linear memory consumption, thus allowing walkthroughs of scenes of extreme complexity. We consider different methods for image reconstruction which aim at correctness, rendering speed and image quality and we develop an efficient data structure for sample extraction in output-sensitive time which allows for efficient dynamic updates of the scene. Experiments confirm that scenes consisting of some hundred billion triangles can be rendered within seconds with an image quality comparable to a conventional z-buffer rendering; in special cases, realtime performance can be achieved."}],"status":"public","file":[{"file_name":"tr-ri-00-217.pdf","file_id":"17866","access_level":"closed","file_size":921817,"creator":"koala","date_created":"2020-08-12T13:27:33Z","date_updated":"2020-08-12T13:27:33Z","relation":"main_file","success":1,"content_type":"application/pdf"}],"type":"report","ddc":["000"],"language":[{"iso":"eng"}],"file_date_updated":"2020-08-12T13:27:33Z","_id":"17865","department":[{"_id":"63"}],"user_id":"15415","place":"Universität Paderborn","year":"2000","citation":{"ieee":"M. Wand, M. Fischer, and F. Meyer auf der Heide, <i>Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes</i>. Universität Paderborn, 2000.","chicago":"Wand, Michael, Matthias Fischer, and Friedhelm Meyer auf der Heide. <i>Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes</i>. Universität Paderborn, 2000.","ama":"Wand M, Fischer M, Meyer auf der Heide F. <i>Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes</i>. Universität Paderborn; 2000.","bibtex":"@book{Wand_Fischer_Meyer auf der Heide_2000, place={Universität Paderborn}, title={Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes}, author={Wand, Michael and Fischer, Matthias and Meyer auf der Heide, Friedhelm}, year={2000} }","short":"M. Wand, M. Fischer, F. Meyer auf der Heide, Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes, Universität Paderborn, 2000.","mla":"Wand, Michael, et al. <i>Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes</i>. 2000.","apa":"Wand, M., Fischer, M., &#38; Meyer auf der Heide, F. (2000). <i>Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes</i>. Universität Paderborn."},"has_accepted_license":"1","title":"Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes","date_updated":"2022-01-06T06:53:21Z","author":[{"full_name":"Wand, Michael","last_name":"Wand","first_name":"Michael"},{"first_name":"Matthias","id":"146","full_name":"Fischer, Matthias","last_name":"Fischer"},{"first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm","id":"15523","last_name":"Meyer auf der Heide"}],"date_created":"2020-08-12T13:27:52Z"},{"publication":"Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS","type":"conference","status":"public","_id":"18962","department":[{"_id":"63"}],"user_id":"15415","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0178-4617","1432-0541"]},"publication_status":"published","year":"2000","page":"585-614","citation":{"ieee":"S. Govindarajan, T. Lukovszki, A. Maheshwari, and N. Zeh, “I/O-Efficient Well-Separated Pair Decomposition and Applications,” in <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS</i>, 2000, pp. 585–614.","chicago":"Govindarajan, Sathish, Tamas Lukovszki, Anil Maheshwari, and Norbert Zeh. “I/O-Efficient Well-Separated Pair Decomposition and Applications.” In <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS</i>, 585–614, 2000. <a href=\"https://doi.org/10.1007/s00453-005-1197-3\">https://doi.org/10.1007/s00453-005-1197-3</a>.","ama":"Govindarajan S, Lukovszki T, Maheshwari A, Zeh N. I/O-Efficient Well-Separated Pair Decomposition and Applications. In: <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS</i>. ; 2000:585-614. doi:<a href=\"https://doi.org/10.1007/s00453-005-1197-3\">10.1007/s00453-005-1197-3</a>","apa":"Govindarajan, S., Lukovszki, T., Maheshwari, A., &#38; Zeh, N. (2000). I/O-Efficient Well-Separated Pair Decomposition and Applications. In <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS</i> (pp. 585–614). <a href=\"https://doi.org/10.1007/s00453-005-1197-3\">https://doi.org/10.1007/s00453-005-1197-3</a>","mla":"Govindarajan, Sathish, et al. “I/O-Efficient Well-Separated Pair Decomposition and Applications.” <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS</i>, 2000, pp. 585–614, doi:<a href=\"https://doi.org/10.1007/s00453-005-1197-3\">10.1007/s00453-005-1197-3</a>.","bibtex":"@inproceedings{Govindarajan_Lukovszki_Maheshwari_Zeh_2000, title={I/O-Efficient Well-Separated Pair Decomposition and Applications}, DOI={<a href=\"https://doi.org/10.1007/s00453-005-1197-3\">10.1007/s00453-005-1197-3</a>}, booktitle={Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS}, author={Govindarajan, Sathish and Lukovszki, Tamas and Maheshwari, Anil and Zeh, Norbert}, year={2000}, pages={585–614} }","short":"S. Govindarajan, T. Lukovszki, A. Maheshwari, N. Zeh, in: Proceedings of the 8th Annual European Symposium on Algorithms (ESA 2000), LNCS, 2000, pp. 585–614."},"date_updated":"2022-01-06T06:53:55Z","author":[{"full_name":"Govindarajan, Sathish","last_name":"Govindarajan","first_name":"Sathish"},{"full_name":"Lukovszki, Tamas","last_name":"Lukovszki","first_name":"Tamas"},{"full_name":"Maheshwari, Anil","last_name":"Maheshwari","first_name":"Anil"},{"last_name":"Zeh","full_name":"Zeh, Norbert","first_name":"Norbert"}],"date_created":"2020-09-03T13:21:02Z","title":"I/O-Efficient Well-Separated Pair Decomposition and Applications","doi":"10.1007/s00453-005-1197-3"},{"type":"conference","publication":"Proc. the Workshop on Run-Time Systems for Parallel Programming","year":"2000","citation":{"short":"H. Karl, A. Polze, M. Werner, in: Proc. the Workshop on Run-Time Systems for Parallel Programming, 2000.","mla":"Karl, Holger, et al. “Predictable Network Computing Using Message-Driven Scheduling.” <i>Proc. the Workshop on Run-Time Systems for Parallel Programming</i>, 2000.","bibtex":"@inproceedings{Karl_Polze_Werner_2000, title={Predictable Network Computing using Message-driven Scheduling}, booktitle={Proc. the Workshop on Run-Time Systems for Parallel Programming}, author={Karl, Holger and Polze, Andreas and Werner, Matthias}, year={2000} }","apa":"Karl, H., Polze, A., &#38; Werner, M. (2000). Predictable Network Computing using Message-driven Scheduling. In <i>Proc. the Workshop on Run-Time Systems for Parallel Programming</i>.","chicago":"Karl, Holger, Andreas Polze, and Matthias Werner. “Predictable Network Computing Using Message-Driven Scheduling.” In <i>Proc. the Workshop on Run-Time Systems for Parallel Programming</i>, 2000.","ieee":"H. Karl, A. Polze, and M. Werner, “Predictable Network Computing using Message-driven Scheduling,” in <i>Proc. the Workshop on Run-Time Systems for Parallel Programming</i>, 2000.","ama":"Karl H, Polze A, Werner M. Predictable Network Computing using Message-driven Scheduling. In: <i>Proc. the Workshop on Run-Time Systems for Parallel Programming</i>. ; 2000."},"status":"public","date_updated":"2022-01-06T06:54:00Z","_id":"1920","user_id":"15572","author":[{"first_name":"Holger","last_name":"Karl","full_name":"Karl, Holger","id":"126"},{"full_name":"Polze, Andreas","last_name":"Polze","first_name":"Andreas"},{"first_name":"Matthias","last_name":"Werner","full_name":"Werner, Matthias"}],"date_created":"2018-03-28T11:33:29Z","department":[{"_id":"75"}],"title":"Predictable Network Computing using Message-driven Scheduling"},{"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We consider the notion of Property Testing as applied to computational geometry. We aim at developing efficient algorithms which determine whether a given (geometrical) object has a predetermined property Q or is 'far' from any object having the property. We show that many basic geometric properties have very efficient testing algorithms, whose running time is significantly smaller than the object description size."}],"publication":"Proceedings of the 8th Annual European Symposium on Algorithms (ESA'00)","title":"Property Testing in Computational Geometry","date_created":"2020-08-14T13:48:54Z","publisher":"Springer","year":"2000","department":[{"_id":"63"}],"user_id":"15415","series_title":"Lecture Notes in Computer Science","_id":"17990","status":"public","type":"conference","doi":"10.1007/3-540-45253-2_15","volume":4698,"author":[{"first_name":"Artur","full_name":"Czumaj, Artur","last_name":"Czumaj"},{"full_name":"Sohler, Christian","last_name":"Sohler","first_name":"Christian"},{"full_name":"Ziegler, Martin","last_name":"Ziegler","first_name":"Martin"}],"date_updated":"2022-01-06T06:53:24Z","page":"155-166","intvolume":"      4698","citation":{"chicago":"Czumaj, Artur, Christian Sohler, and Martin Ziegler. “Property Testing in Computational Geometry.” In <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>, 4698:155–66. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer, 2000. <a href=\"https://doi.org/10.1007/3-540-45253-2_15\">https://doi.org/10.1007/3-540-45253-2_15</a>.","ieee":"A. Czumaj, C. Sohler, and M. Ziegler, “Property Testing in Computational Geometry,” in <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>, 2000, vol. 4698, pp. 155–166.","ama":"Czumaj A, Sohler C, Ziegler M. Property Testing in Computational Geometry. In: <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>. Vol 4698. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer; 2000:155-166. doi:<a href=\"https://doi.org/10.1007/3-540-45253-2_15\">10.1007/3-540-45253-2_15</a>","apa":"Czumaj, A., Sohler, C., &#38; Ziegler, M. (2000). Property Testing in Computational Geometry. In <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i> (Vol. 4698, pp. 155–166). Berlin, Heidelberg: Springer. <a href=\"https://doi.org/10.1007/3-540-45253-2_15\">https://doi.org/10.1007/3-540-45253-2_15</a>","bibtex":"@inproceedings{Czumaj_Sohler_Ziegler_2000, place={Berlin, Heidelberg}, series={Lecture Notes in Computer Science}, title={Property Testing in Computational Geometry}, volume={4698}, DOI={<a href=\"https://doi.org/10.1007/3-540-45253-2_15\">10.1007/3-540-45253-2_15</a>}, booktitle={Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)}, publisher={Springer}, author={Czumaj, Artur and Sohler, Christian and Ziegler, Martin}, year={2000}, pages={155–166}, collection={Lecture Notes in Computer Science} }","mla":"Czumaj, Artur, et al. “Property Testing in Computational Geometry.” <i>Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00)</i>, vol. 4698, Springer, 2000, pp. 155–66, doi:<a href=\"https://doi.org/10.1007/3-540-45253-2_15\">10.1007/3-540-45253-2_15</a>.","short":"A. Czumaj, C. Sohler, M. Ziegler, in: Proceedings of the 8th Annual European Symposium on Algorithms (ESA’00), Springer, Berlin, Heidelberg, 2000, pp. 155–166."},"place":"Berlin, Heidelberg","publication_identifier":{"issn":["0302-9743"],"isbn":["9783540410041","9783540452539"]},"publication_status":"published"},{"place":"Berlin, Heidelberg","page":"450-458","intvolume":"      1963","citation":{"ama":"Ziegler M, Brattka V. Computing the Dimension of Linear Subspaces. In: <i>SOFSEM 2000: Theory and Practice of Informatics</i>. Vol 1963. Berlin, Heidelberg: Springer; 2000:450-458. doi:<a href=\"https://doi.org/10.1007/3-540-44411-4_34\">10.1007/3-540-44411-4_34</a>","ieee":"M. Ziegler and V. Brattka, “Computing the Dimension of Linear Subspaces,” in <i>SOFSEM 2000: Theory and Practice of Informatics</i>, 2000, vol. 1963, pp. 450–458.","chicago":"Ziegler, Martin, and Vasco Brattka. “Computing the Dimension of Linear Subspaces.” In <i>SOFSEM 2000: Theory and Practice of Informatics</i>, 1963:450–58. Berlin, Heidelberg: Springer, 2000. <a href=\"https://doi.org/10.1007/3-540-44411-4_34\">https://doi.org/10.1007/3-540-44411-4_34</a>.","mla":"Ziegler, Martin, and Vasco Brattka. “Computing the Dimension of Linear Subspaces.” <i>SOFSEM 2000: Theory and Practice of Informatics</i>, vol. 1963, Springer, 2000, pp. 450–58, doi:<a href=\"https://doi.org/10.1007/3-540-44411-4_34\">10.1007/3-540-44411-4_34</a>.","bibtex":"@inproceedings{Ziegler_Brattka_2000, place={Berlin, Heidelberg}, title={Computing the Dimension of Linear Subspaces}, volume={1963}, DOI={<a href=\"https://doi.org/10.1007/3-540-44411-4_34\">10.1007/3-540-44411-4_34</a>}, booktitle={SOFSEM 2000: Theory and Practice of Informatics}, publisher={Springer}, author={Ziegler, Martin and Brattka, Vasco}, year={2000}, pages={450–458} }","short":"M. Ziegler, V. Brattka, in: SOFSEM 2000: Theory and Practice of Informatics, Springer, Berlin, Heidelberg, 2000, pp. 450–458.","apa":"Ziegler, M., &#38; Brattka, V. (2000). Computing the Dimension of Linear Subspaces. In <i>SOFSEM 2000: Theory and Practice of Informatics</i> (Vol. 1963, pp. 450–458). Berlin, Heidelberg: Springer. <a href=\"https://doi.org/10.1007/3-540-44411-4_34\">https://doi.org/10.1007/3-540-44411-4_34</a>"},"publication_identifier":{"issn":["0302-9743"],"isbn":["9783540413486","9783540444114"]},"publication_status":"published","doi":"10.1007/3-540-44411-4_34","date_updated":"2022-01-06T06:53:26Z","volume":1963,"author":[{"full_name":"Ziegler, Martin","last_name":"Ziegler","first_name":"Martin"},{"full_name":"Brattka, Vasco","last_name":"Brattka","first_name":"Vasco"}],"status":"public","type":"conference","_id":"18146","department":[{"_id":"63"}],"user_id":"15415","year":"2000","title":"Computing the Dimension of Linear Subspaces","publisher":"Springer","date_created":"2020-08-24T09:58:56Z","abstract":[{"text":"Since its very beginning, linear algebra is a highly algorithmic subject. Let us just mention the famous Gauss Algorithm which was invented before the theory of algorithms has been developed. The purpose of this paper is to link linear algebra explicitly to computable analysis, that is the theory of computable real number functions. Especially, we will investigate in which sense the dimension of a given linear subspace can be computed. The answer highly depends on how the linear subspace is given: if it is given by a finite number of vectors whose linear span represents the space, then the dimension does not depend continuously on these vectors and consequently it cannot be computed. If the linear subspace is represented via its distance function, which is a standard way to represent closed subspaces in computable analysis, then the dimension does computably depend on the distance function.","lang":"eng"}],"publication":"SOFSEM 2000: Theory and Practice of Informatics","language":[{"iso":"eng"}]},{"citation":{"ieee":"M. Ziegler and C. Sohler, “Computing Cut Numbers,” in <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>, 2000, pp. 73–79.","chicago":"Ziegler, Martin, and Christian Sohler. “Computing Cut Numbers.” In <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>, 73–79, 2000.","ama":"Ziegler M, Sohler C. Computing Cut Numbers. In: <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>. ; 2000:73-79.","apa":"Ziegler, M., &#38; Sohler, C. (2000). Computing Cut Numbers. In <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i> (pp. 73–79).","mla":"Ziegler, Martin, and Christian Sohler. “Computing Cut Numbers.” <i>Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)</i>, 2000, pp. 73–79.","bibtex":"@inproceedings{Ziegler_Sohler_2000, title={Computing Cut Numbers}, booktitle={Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00)}, author={Ziegler, Martin and Sohler, Christian}, year={2000}, pages={73–79} }","short":"M. Ziegler, C. Sohler, in: Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG’00), 2000, pp. 73–79."},"page":"73-79","year":"2000","title":"Computing Cut Numbers","author":[{"last_name":"Ziegler","full_name":"Ziegler, Martin","first_name":"Martin"},{"full_name":"Sohler, Christian","last_name":"Sohler","first_name":"Christian"}],"date_created":"2020-08-24T10:10:40Z","date_updated":"2022-01-06T06:53:26Z","status":"public","abstract":[{"lang":"eng","text":"What is the minimum number of hyperplanes that slice all edges of the d-dimensional hypercube? The answers have been known for d<=4.<br>This work settles the problem for d=5 and d=6. More precisely, a computer search implies that 4 hyperplanes do not suffice for this purpose (but 5 do).<br>We also develop computational approaches for attacking this extremal problem from combinatorial geometry in higher dimensions. They allow us to determine for example all maximal sliceable subsets of hypercube edges up to dimension 7."}],"type":"conference","publication":"Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG'00)","language":[{"iso":"eng"}],"user_id":"15415","department":[{"_id":"63"}],"_id":"18150"},{"publication":"Journal of the ACM","type":"journal_article","status":"public","abstract":[{"text":"We consider comparator networks M that are used repeatedly: while the output produced by M is not sorted, it is fed again into M. Sorting algorithms working in this way are called periodic. The number of parallel steps performed during a single run of M is called its period, the sorting time of M is the total number of parallel steps that are necessary to sort in the worst case. Periodic sorting networks have the advantage that they need little hardware (control logic, wiring, area) and that they are adaptive. We are interested in comparator networks of a constant period, due to their potential applications in hardware design.\r\n\r\nPreviously, very little was known on such networks. The fastest solutions required time O(nε) where the depth was roughly 1/ε. We introduce a general method called periodification scheme that converts automatically an arbitrary sorting network that sorts n items in time T(n) and that has layout area A(n) into a sorting network that has period 5, sorts ***(n • T(n) items in time O(T(<n)• log n), and has layout area O(A(n)) • T(n)). In particular, applying this scheme to Batcher's algorithms, we get practical period 5 comparator networks that sort in time O(log3n). For theoretical interest, one may use the AKS netork resulting in a period 5 comparator network with runtime O(log2n).","lang":"eng"}],"department":[{"_id":"63"}],"user_id":"15415","_id":"18446","language":[{"iso":"eng"}],"page":"944-967","intvolume":"        45","citation":{"chicago":"Lorys, Krzysztof, Rolf Wanka, Brigitte Oesterdiekhoff, and Miroslaw Kutylowski. “Periodification Scheme: Constructing Sorting Networks with Constant Period.” <i>Journal of the ACM</i> 45 (2000): 944–67. <a href=\"https://doi.org/10.1145/355483.355490\">https://doi.org/10.1145/355483.355490</a>.","ieee":"K. Lorys, R. Wanka, B. Oesterdiekhoff, and M. Kutylowski, “Periodification Scheme: Constructing Sorting Networks with Constant Period,” <i>Journal of the ACM</i>, vol. 45, pp. 944–967, 2000, doi: <a href=\"https://doi.org/10.1145/355483.355490\">10.1145/355483.355490</a>.","ama":"Lorys K, Wanka R, Oesterdiekhoff B, Kutylowski M. Periodification Scheme: Constructing Sorting Networks with Constant Period. <i>Journal of the ACM</i>. 2000;45:944-967. doi:<a href=\"https://doi.org/10.1145/355483.355490\">10.1145/355483.355490</a>","short":"K. Lorys, R. Wanka, B. Oesterdiekhoff, M. Kutylowski, Journal of the ACM 45 (2000) 944–967.","bibtex":"@article{Lorys_Wanka_Oesterdiekhoff_Kutylowski_2000, title={Periodification Scheme: Constructing Sorting Networks with Constant Period}, volume={45}, DOI={<a href=\"https://doi.org/10.1145/355483.355490\">10.1145/355483.355490</a>}, journal={Journal of the ACM}, author={Lorys, Krzysztof and Wanka, Rolf and Oesterdiekhoff, Brigitte and Kutylowski, Miroslaw}, year={2000}, pages={944–967} }","mla":"Lorys, Krzysztof, et al. “Periodification Scheme: Constructing Sorting Networks with Constant Period.” <i>Journal of the ACM</i>, vol. 45, 2000, pp. 944–67, doi:<a href=\"https://doi.org/10.1145/355483.355490\">10.1145/355483.355490</a>.","apa":"Lorys, K., Wanka, R., Oesterdiekhoff, B., &#38; Kutylowski, M. (2000). Periodification Scheme: Constructing Sorting Networks with Constant Period. <i>Journal of the ACM</i>, <i>45</i>, 944–967. <a href=\"https://doi.org/10.1145/355483.355490\">https://doi.org/10.1145/355483.355490</a>"},"year":"2000","volume":45,"date_created":"2020-08-27T11:49:50Z","author":[{"first_name":"Krzysztof","last_name":"Lorys","full_name":"Lorys, Krzysztof"},{"full_name":"Wanka, Rolf","last_name":"Wanka","first_name":"Rolf"},{"first_name":"Brigitte","last_name":"Oesterdiekhoff","full_name":"Oesterdiekhoff, Brigitte"},{"first_name":"Miroslaw","last_name":"Kutylowski","full_name":"Kutylowski, Miroslaw"}],"date_updated":"2022-01-06T06:53:32Z","doi":"10.1145/355483.355490","title":"Periodification Scheme: Constructing Sorting Networks with Constant Period"},{"author":[{"first_name":"Artur","last_name":"Czumaj","full_name":"Czumaj, Artur"},{"id":"20792","full_name":"Scheideler, Christian","last_name":"Scheideler","first_name":"Christian"}],"date_created":"2018-04-05T07:02:46Z","oa":"1","date_updated":"2022-01-06T06:55:26Z","title":"A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems ","has_accepted_license":"1","citation":{"short":"A. Czumaj, C. Scheideler, in: 32nd ACM Symposium on Theory of Computing, 2000, pp. 38–47.","bibtex":"@inproceedings{Czumaj_Scheideler_2000, title={A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems }, booktitle={32nd ACM Symposium on Theory of Computing}, author={Czumaj, Artur and Scheideler, Christian}, year={2000}, pages={38–47} }","mla":"Czumaj, Artur, and Christian Scheideler. “A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems .” <i>32nd ACM Symposium on Theory of Computing</i>, 2000, pp. 38–47.","apa":"Czumaj, A., &#38; Scheideler, C. (2000). A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems . In <i>32nd ACM Symposium on Theory of Computing</i> (pp. 38–47).","ieee":"A. Czumaj and C. Scheideler, “A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems ,” in <i>32nd ACM Symposium on Theory of Computing</i>, 2000, pp. 38–47.","chicago":"Czumaj, Artur, and Christian Scheideler. “A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems .” In <i>32nd ACM Symposium on Theory of Computing</i>, 38–47, 2000.","ama":"Czumaj A, Scheideler C. A New Algorithmic Approach to the General Lovász Local Lemma with Applications to Scheduling and Satisfiability Problems . In: <i>32nd ACM Symposium on Theory of Computing</i>. ; 2000:38-47."},"page":"38-47","year":"2000","user_id":"14955","department":[{"_id":"79"},{"_id":"63"}],"_id":"2211","file_date_updated":"2018-04-12T08:37:23Z","language":[{"iso":"eng"}],"ddc":["040"],"type":"conference","publication":"32nd ACM Symposium on Theory of Computing","file":[{"date_updated":"2018-04-12T08:37:23Z","creator":"florida","date_created":"2018-04-12T08:37:23Z","file_size":190083,"file_name":"STOC-00.pdf","access_level":"open_access","file_id":"2296","content_type":"application/pdf","relation":"main_file"}],"status":"public","urn":"22111"},{"date_updated":"2022-01-06T06:55:13Z","publisher":"IEEE","volume":20,"date_created":"2021-04-25T17:29:44Z","author":[{"last_name":"Domik","id":"90","full_name":"Domik, Gitta","first_name":"Gitta"}],"title":"Do we need formal education in visualization?","doi":"10.1109/38.851744","issue":"4","year":"2000","page":"16-19","intvolume":"        20","citation":{"apa":"Domik, G. (2000). Do we need formal education in visualization? <i>IEEE Computer Graphics and Applications</i>, <i>20</i>(4), 16–19. <a href=\"https://doi.org/10.1109/38.851744\">https://doi.org/10.1109/38.851744</a>","mla":"Domik, Gitta. “Do We Need Formal Education in Visualization?” <i>IEEE Computer Graphics and Applications</i>, vol. 20, no. 4, IEEE, 2000, pp. 16–19, doi:<a href=\"https://doi.org/10.1109/38.851744\">10.1109/38.851744</a>.","short":"G. Domik, IEEE Computer Graphics and Applications 20 (2000) 16–19.","bibtex":"@article{Domik_2000, title={Do we need formal education in visualization?}, volume={20}, DOI={<a href=\"https://doi.org/10.1109/38.851744\">10.1109/38.851744</a>}, number={4}, journal={IEEE Computer Graphics and Applications}, publisher={IEEE}, author={Domik, Gitta}, year={2000}, pages={16–19} }","chicago":"Domik, Gitta. “Do We Need Formal Education in Visualization?” <i>IEEE Computer Graphics and Applications</i> 20, no. 4 (2000): 16–19. <a href=\"https://doi.org/10.1109/38.851744\">https://doi.org/10.1109/38.851744</a>.","ieee":"G. Domik, “Do we need formal education in visualization?,” <i>IEEE Computer Graphics and Applications</i>, vol. 20, no. 4, pp. 16–19, 2000.","ama":"Domik G. 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(2000). Developing Effective Navigation Techniques in Virtual 3D Environments. In J. Mulder &#38; R. van Liere (Eds.), <i>Virtual Environments 2000</i> (pp. 55–64). Vienna: Springer Vienna.","short":"S. Volbracht, G. Domik, in: J. Mulder, R. van Liere (Eds.), Virtual Environments 2000, Springer Vienna, Vienna, 2000, pp. 55–64.","mla":"Volbracht, Sabine, and Gitta Domik. “Developing Effective Navigation Techniques in Virtual 3D Environments.” <i>Virtual Environments 2000</i>, edited by Jurriaan Mulder and Robert van Liere, Springer Vienna, 2000, pp. 55–64.","bibtex":"@inproceedings{Volbracht_Domik_2000, place={Vienna}, title={Developing Effective Navigation Techniques in Virtual 3D Environments}, booktitle={Virtual Environments 2000}, publisher={Springer Vienna}, author={Volbracht, Sabine and Domik, Gitta}, editor={Mulder, Jurriaan and van Liere, RobertEditors}, year={2000}, pages={55–64} }","chicago":"Volbracht, Sabine, and Gitta Domik. “Developing Effective Navigation Techniques in Virtual 3D Environments.” In <i>Virtual Environments 2000</i>, edited by Jurriaan Mulder and Robert van Liere, 55–64. Vienna: Springer Vienna, 2000.","ieee":"S. Volbracht and G. 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Vol. 44, no. 2, Elsevier, 2000.","bibtex":"@book{Ehrig_Engels_Kreowksi_Taentzer_2000, place={Amsterdam, The Netherlands}, series={Science of Computer Programming}, title={Special Issue: Selected Papers of GRATRA 2000}, volume={44}, number={2}, publisher={Elsevier}, year={2000}, collection={Science of Computer Programming} }","short":"H. Ehrig, G. Engels, H.-J. Kreowksi, G. Taentzer, eds., Special Issue: Selected Papers of GRATRA 2000, Elsevier, Amsterdam, The Netherlands, 2000.","apa":"Ehrig, H., Engels, G., Kreowksi, H.-J., &#38; Taentzer, G. (Eds.). (2000). <i>Special Issue: Selected Papers of GRATRA 2000</i> (Vol. 44). Amsterdam, The Netherlands: Elsevier.","ama":"Ehrig H, Engels G, Kreowksi H-J, Taentzer G, eds. <i>Special Issue: Selected Papers of GRATRA 2000</i>. Vol 44. Amsterdam, The Netherlands: Elsevier; 2000.","ieee":"H. Ehrig, G. Engels, H.-J. Kreowksi, and G. Taentzer, Eds., <i>Special Issue: Selected Papers of GRATRA 2000</i>, vol. 44, no. 2. 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Z., Corradini, A., Gorrieri, R., Heckel, R., Hromkovic, J., … Wells, J. B. (Eds.). (2000). <i>Workshop on Graph Transformation and Visual Modeling Techniques (ICALP 2000, Geneva, Switzerland)</i>. Waterloo, Ontario, Canada: Carleton Scientific.","short":"J.D.P. Rolim, A.Z. Broder, A. Corradini, R. Gorrieri, R. Heckel, J. Hromkovic, U. Vaccaro, J.B. Wells, eds., Workshop on Graph Transformation and Visual Modeling Techniques (ICALP 2000, Geneva, Switzerland), Carleton Scientific, Waterloo, Ontario, Canada, 2000.","mla":"Rolim, J. D. P., et al., editors. <i>Workshop on Graph Transformation and Visual Modeling Techniques (ICALP 2000, Geneva, Switzerland)</i>. 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(2000). Konzeption eines XML-fähigen Mailtools. In <i>Proceedings of Net.Object Days 2000, Erfurt (Germany)</i>.","short":"M. Lohmann, A. Wagner, in: Proceedings of Net.Object Days 2000, Erfurt (Germany), 2000.","bibtex":"@inproceedings{Lohmann_Wagner_2000, title={Konzeption eines XML-fähigen Mailtools}, booktitle={Proceedings of Net.Object Days 2000, Erfurt (Germany)}, author={Lohmann, Marc and Wagner, Annika}, year={2000} }","mla":"Lohmann, Marc, and Annika Wagner. “Konzeption Eines XML-Fähigen Mailtools.” <i>Proceedings of Net.Object Days 2000, Erfurt (Germany)</i>, 2000.","ieee":"M. Lohmann and A. Wagner, “Konzeption eines XML-fähigen Mailtools,” in <i>Proceedings of Net.Object Days 2000, Erfurt (Germany)</i>, 2000.","chicago":"Lohmann, Marc, and Annika Wagner. “Konzeption Eines XML-Fähigen Mailtools.” In <i>Proceedings of Net.Object Days 2000, Erfurt (Germany)</i>, 2000.","ama":"Lohmann M, Wagner A. Konzeption eines XML-fähigen Mailtools. In: <i>Proceedings of Net.Object Days 2000, Erfurt (Germany)</i>. ; 2000."}},{"_id":"7862","department":[{"_id":"66"}],"user_id":"52534","language":[{"iso":"eng"}],"publication":"Proceedings of the Informatiktage 2000, Bad Schussenried (Germany)","type":"conference","status":"public","date_updated":"2022-01-06T07:03:47Z","publisher":"Konradin-Verlag","date_created":"2019-02-20T14:45:38Z","author":[{"full_name":"Thöne, Sebastian","last_name":"Thöne","first_name":"Sebastian"}],"title":"Entwicklung eines Übersetzers von Nachrichtenaustauschformaten für Bankselbstbedienungssysteme in XML-Formate","year":"2000","place":"Leinfelden - Echterdingen","citation":{"ama":"Thöne S. Entwicklung eines Übersetzers von Nachrichtenaustauschformaten für Bankselbstbedienungssysteme in XML-Formate. In: <i>Proceedings of the Informatiktage 2000, Bad Schussenried (Germany)</i>. Leinfelden - Echterdingen: Konradin-Verlag; 2000.","ieee":"S. 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Leinfelden - Echterdingen: Konradin-Verlag.","bibtex":"@inproceedings{Thöne_2000, place={Leinfelden - Echterdingen}, title={Entwicklung eines Übersetzers von Nachrichtenaustauschformaten für Bankselbstbedienungssysteme in XML-Formate}, booktitle={Proceedings of the Informatiktage 2000, Bad Schussenried (Germany)}, publisher={Konradin-Verlag}, author={Thöne, Sebastian}, year={2000} }","short":"S. Thöne, in: Proceedings of the Informatiktage 2000, Bad Schussenried (Germany), Konradin-Verlag, Leinfelden - Echterdingen, 2000.","mla":"Thöne, Sebastian. “Entwicklung Eines Übersetzers von Nachrichtenaustauschformaten Für Bankselbstbedienungssysteme in XML-Formate.” <i>Proceedings of the Informatiktage 2000, Bad Schussenried (Germany)</i>, Konradin-Verlag, 2000."}},{"year":"2000","citation":{"ama":"Cherchago A, Alexandrova N. A Model of a Physician’s Decision-Making Process using Electropunctural Methods of Diagnostics. 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Alexandrova, in: Proceedings of the All-Russia Students, Young Scientists and Specialists Scientific and Technical Conference on Biotechnical, Medical and Environmental Systems and Complexes (Ryazan, Russia), 2000."},"title":"A Model of a Physician’s Decision-Making Process using Electropunctural Methods of Diagnostics","date_updated":"2022-01-06T07:03:47Z","date_created":"2019-02-20T14:46:59Z","author":[{"full_name":"Cherchago, Alexey","last_name":"Cherchago","first_name":"Alexey"},{"last_name":"Alexandrova","full_name":"Alexandrova, N.","first_name":"N."}],"status":"public","publication":"Proceedings of the All-Russia Students, Young Scientists and Specialists Scientific and Technical Conference on Biotechnical, Medical and Environmental Systems and Complexes (Ryazan, Russia)","type":"conference","language":[{"iso":"eng"}],"_id":"7863","department":[{"_id":"66"}],"user_id":"52534"},{"year":"2000","citation":{"ieee":"R. Depke, M. Langham, B. Lütkemeier, and S. 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Thöne, in: Proceedings of the Net.ObjectDays (2000), Erfurt (Germany), 2000.","bibtex":"@inproceedings{Depke_Langham_Lütkemeier_Thöne_2000, title={Ein Konzept zur Generierung von XSL-Transformationen und dessen Anwendung bei Bankselbstbedienungssystemen}, booktitle={Proceedings of the Net.ObjectDays (2000), Erfurt (Germany)}, author={Depke, Ralph and Langham, Matthew and Lütkemeier, Björn and Thöne, Sebastian}, year={2000} }","apa":"Depke, R., Langham, M., Lütkemeier, B., &#38; Thöne, S. (2000). Ein Konzept zur Generierung von XSL-Transformationen und dessen Anwendung bei Bankselbstbedienungssystemen. In <i>Proceedings of the Net.ObjectDays (2000), Erfurt (Germany)</i>."},"title":"Ein Konzept zur Generierung von XSL-Transformationen und dessen Anwendung bei Bankselbstbedienungssystemen","date_updated":"2022-01-06T07:03:47Z","date_created":"2019-02-20T14:47:33Z","author":[{"first_name":"Ralph","full_name":"Depke, Ralph","last_name":"Depke"},{"last_name":"Langham","full_name":"Langham, Matthew","first_name":"Matthew"},{"last_name":"Lütkemeier","full_name":"Lütkemeier, Björn","first_name":"Björn"},{"first_name":"Sebastian","full_name":"Thöne, Sebastian","last_name":"Thöne"}],"status":"public","type":"conference","publication":"Proceedings of the Net.ObjectDays (2000), Erfurt (Germany)","language":[{"iso":"eng"}],"_id":"7864","user_id":"52534","department":[{"_id":"66"}]}]