Geometric permutations for convex sets

M. Katchalski; T. Lewis; J. Zaks

doi:10.1016/0012-365X(85)90111-6

Geometric permutations for convex sets

M. Katchalski
, T. Lewis
, J. Zaks

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A geometric permutation is the pair of permutations formed by a common transversal for a finite family of disjoint convex sets in the plane. It is shown that if A is a family of n convex and pairwise disjoint segments in the plane then the number of geometric permutations formed by all common transversals of A cannot be more than n.

Original language	English
Pages (from-to)	271-284
Number of pages	14
Journal	Discrete Mathematics
Volume	54
Issue number	3
DOIs	https://doi.org/10.1016/0012-365X(85)90111-6
State	Published - May 1985

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(85)90111-6

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abstract = "A geometric permutation is the pair of permutations formed by a common transversal for a finite family of disjoint convex sets in the plane. It is shown that if A is a family of n convex and pairwise disjoint segments in the plane then the number of geometric permutations formed by all common transversals of A cannot be more than n.",

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AB - A geometric permutation is the pair of permutations formed by a common transversal for a finite family of disjoint convex sets in the plane. It is shown that if A is a family of n convex and pairwise disjoint segments in the plane then the number of geometric permutations formed by all common transversals of A cannot be more than n.

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Geometric permutations for convex sets

Abstract

ASJC Scopus subject areas

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