Author:
Beaudou Laurent,Bondy Adrian,Chen Xiaomin,Chiniforooshan Ehsan,Chudnovsky Maria,Chvátal Vašek,Fraiman Nicolas,Zwols Yori
Abstract
A special case of a combinatorial theorem of De Bruijn and Erdős asserts that every noncollinear set of $n$ points in the plane determines at least $n$ distinct lines. Chen and Chávtal suggested a possible generalization of this assertion in metric spaces with appropriately defined lines. We prove this generalization in all metric spaces induced by connected chordal graphs.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
10 articles.
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