| An improved bound for k-sets in three dimensions |
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Annual Symposium on Computational Geometry
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Proceedings of the sixteenth annual symposium on Computational geometry
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Clear Water Bay, Kowloon, Hong Kong
Pages: 43 - 49
Year of Publication: 2000
ISBN:1-58113-224-7
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Authors
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Micha Sharir
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School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel and Courant Institute of Mathematical Sciences, New York University, New York, NY
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Shakhar Smorodinsky
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School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel
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Gábor Tardos
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Rényi Institute of the Hungarian Academy of Sciences, H-1364, Budapest, POB 127, Hungary
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Downloads (6 Weeks): 3, Downloads (12 Months): 13, Citation Count: 1
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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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Artur Andrzejak , Boris Aronov , Sariel Har-Peled , Raimund Seidel , Emo Welzl, Results on k-sets and j-facets via continuous motion, Proceedings of the fourteenth annual symposium on Computational geometry, p.192-199, June 07-10, 1998, Minneapolis, Minnesota, United States
[doi> 10.1145/276884.276906]
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Boris Aronov , Bernard Chazelle , Herbert Edelsbrunner , Leonidas J. Guibas , Micha Sharir , Rephael Wenger, Points and triangles in the plane and halving planes in space, Discrete & Computational Geometry, v.6 n.5, p.435-442, 1991
[doi> 10.1007/BF02574700]
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T. K. DEY, Improved bounds on planar ksets and related problems, Discrete Comput. Geom., 19 (1998), pp. 373-382.
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T. K. DEY AND H. EDELSBRUNNER, Counting triangle crossings and halving planes, Discrete Comput. Geom., 12 (1994), pp. 281-289.
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H. EDELSBRUNNER, P. VALTR, AND E. WELZL, Cutting dense point sets in half, Discrete Comput. Geom., 17 (1997), pp. 243-255.
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H. EDELSBRUNNER AND E. WELZL, On the number of line separations of a finite set in the plane, j. Combin. Theory Ser. A, 40 (1985), pp. 15-29.
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P. ERDOS, L. LovAsz, A. SIMMONS, AND E. STRAUS, Dissection graphs of planar point sets, in A Survey of Combinatorial Theory, J. N. Srivastava, ed., North-Holland, Amsterdam, Netherlands, 1973, pp. 139-154.
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L. LovAsz, On the number of halving lines, Annal. Univ. Scie. Budapest. de Rolando EStv6s Nominatae, Sectio Math., 14 (1971), pp. 107-108.
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J. PACH, Notes on geometric graph theory, Discrete and Computetional Geometry: Papers from the DIMACS Special Year, Dimacs Series in Discrete Mathematics and Theoretical Computer Science, 6 (1991), pp. 273-285.
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J. PACH AND P.K. AGARWAL, Combinatorial Geometry, Wiley-Interscience, New York, 1995.
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M. SHARIR, On k-sets in arrangements of curves and surfaces, Discrete Comput. Geom., 6 (1991), pp. 593-613.
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G. TSTH, On sets with many k-sets, manuscript, 1999.
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