A tight bound on the number of geometric permutations of convex fat objects in Rd

M. J. Katz; K. R. Varadarajan

A tight bound on the number of geometric permutations of convex fat objects in R^d

M. J. Katz, K. R. Varadarajan

Department of Computer Science

Research output: Contribution to conference › Paper › peer-review

2 Scopus citations

Abstract

The maximum number of geometric permutations of a set of n pairwise-disjoint convex and fat objects in R^d is determined. The result is obtained by using the concept of a separating set of hyperplanes. The number of geometric permutations is found to be a constant independent of the number of pairwise disjoint objects n.

Original language	English
Pages	249-251
Number of pages	3
State	Published - 1 Jan 2001
Event	17th Annual Symposium on Computational Geometry (SCG'01) - Medford, MA, United States Duration: 3 Jun 2001 → 5 Jun 2001

Conference

Conference	17th Annual Symposium on Computational Geometry (SCG'01)
Country/Territory	United States
City	Medford, MA
Period	3/06/01 → 5/06/01

Keywords

Fat objects
Geometric permutations
Line transversals
Separating set

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Computational Mathematics

Cite this

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abstract = "The maximum number of geometric permutations of a set of n pairwise-disjoint convex and fat objects in Rd is determined. The result is obtained by using the concept of a separating set of hyperplanes. The number of geometric permutations is found to be a constant independent of the number of pairwise disjoint objects n.",

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AB - The maximum number of geometric permutations of a set of n pairwise-disjoint convex and fat objects in Rd is determined. The result is obtained by using the concept of a separating set of hyperplanes. The number of geometric permutations is found to be a constant independent of the number of pairwise disjoint objects n.

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KW - Geometric permutations

KW - Line transversals

KW - Separating set

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T2 - 17th Annual Symposium on Computational Geometry (SCG'01)

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