| On levels in arrangements of lines, segments, planes, and triangles |
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Annual Symposium on Computational Geometry
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Proceedings of the thirteenth annual symposium on Computational geometry
table of contents
Nice, France
Pages: 30 - 38
Year of Publication: 1997
ISBN:0-89791-878-9
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Authors
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Pankaj K. Agarwal
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Department of Computer Science, Box 90129, Duke University, Durham, NC
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Boris Aronov
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Department of Computer and Information Science, Polytechnic University, Brooklyn, NY
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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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| Bibliometrics |
Downloads (6 Weeks): 3, Downloads (12 Months): 14, Citation Count: 4
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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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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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I. B~r~ny, Z. Ffiredi, and L. Lov#sz, On the number of halving planes, Cornbinatorica 10 (1990), 175-183.
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Bernard Chazelle , Herbert Edelsbrunner , Leonidas J. Guibas , John E. Hershberger , Raimund Seidel , Micha Sharir, Selecting Heavily Covered Points, SIAM Journal on Computing, v.23 n.6, p.1138-1151, Dec. 1994
[doi> 10.1137/S0097539790179919]
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K. Clarkson, A bound on local minima of arrangements that implies the Upper Bound Theorem, Discrete Cornput. Geom. 10 (1993), 427-433.
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T. Dey and H. Edelsbrunner, Counting triangle crossings and halving planes, Discrete Cornput. Geom. 12 (1994), 281-289.
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Herbert Edelsbrunner , Pavel Valtr , Emo Welzl, Cutting dense point sets in half, Proceedings of the tenth annual symposium on Computational geometry, p.203-209, June 06-08, 1994, Stony Brook, New York, United States
[doi> 10.1145/177424.177648]
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P. ErdSs, L. Lov#sz, A. Simmons, and E. G. Straus, Dissection graphs of planar point sets, In J. N. Srivastara et M., editors, A Survey of Combinatorial Theory, North-Holland, Amsterdam, 1973, pp. 139-149.
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J. E. Goodman and R. Pollack, Allowable Sequences and Order Types in Discrete and Computational Geometry, in New Trends in Discrete and Computational Geometry, Algorithms and Combinatorics (J. Pach, Ed.), vol. 10, Springer-Verlag, 1993, 103-134.
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D. Gusfield, Bounds for the parametric minimum spanning tree problem, Proc. Humboldt Conference on Graph Theory, Cornbinatorics and Computing, 1979, Utilitas Mathematica, pp. 173-183.
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M. Klawe, M. Paterson, and N. Pippenger, unpublished manuscript.
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L. LovAsz, On the number of halving lines, Ann. Univ. Sci. Budapest, EStvSs, Sec. Math. 14 (1971), 107-108.
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M. Sharir, On k-sets in arrangements of curves and surfaces, Discrete Coraput. Geom. 6 (1991), 593-613.
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CITED BY 4
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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
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Naoki Katoh , Hisao Tamaki , Takeshi Tokuyama, Parametric polymatroid optimization and its geometric applications, Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms, p.517-526, January 17-19, 1999, Baltimore, Maryland, United States
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Helmut Alt , Stefan Felsner , Ferran Hurtado , Marc Noy, Point-sets with few k-sets, Proceedings of the fourteenth annual symposium on Computational geometry, p.200-205, June 07-10, 1998, Minneapolis, Minnesota, United States
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