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An improved bound for k-sets in three dimensions
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Source Annual Symposium on Computational Geometry archive
Proceedings of the sixteenth annual symposium on Computational geometry table of contents
Clear Water Bay, Kowloon, Hong Kong
Pages: 43 - 49  
Year of Publication: 2000
ISBN:1-58113-224-7
Authors
Micha Sharir  School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel and Courant Institute of Mathematical Sciences, New York University, New York, NY
Shakhar Smorodinsky  School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel
Gábor Tardos  Rényi Institute of the Hungarian Academy of Sciences, H-1364, Budapest, POB 127, Hungary
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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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.

 
1
P. K. AGARWAL, B. ARONOV, T. M. CHAN, AND M. SHARIR, On levels in arrangements of lines, segments, planes, and triangles, Discrete Comput. Geom., 19 (1998), pp. 315-331.
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I. BAR.~NY, Z. FUREDI, AND L. LOVASZ, On the number of halving planes, Combinatorica, 10 (1990), pp. 175-183.
 
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T. K. DEY, Improved bounds on planar ksets and related problems, Discrete Comput. Geom., 19 (1998), pp. 373-382.
 
7
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.
 
9
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.
 
10
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.
 
11
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.
 
13
J. PACH AND P.K. AGARWAL, Combinatorial Geometry, Wiley-Interscience, New York, 1995.
 
14
M. SHARIR, On k-sets in arrangements of curves and surfaces, Discrete Comput. Geom., 6 (1991), pp. 593-613.
 
15
G. TSTH, On sets with many k-sets, manuscript, 1999.
 
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Collaborative Colleagues:
Micha Sharir: colleagues
Shakhar Smorodinsky: colleagues
Gábor Tardos: colleagues