A De Bruijn-Erdos theorem for chordal graphs

被引：0

作者：

Beaudou, Laurent ^{[1
]}

Bondy, Adrian ^{[2
]}

Chen, Xiaomin ^{[3
]}

Chiniforooshan, Ehsan ^{[4
]}

Chudnovsky, Maria ^{[5
]}

Chvatal, Vasek ^{[6
]}

Fraiman, Nicolas ^{[7
]}

Zwols, Yori ^{[6
]}

机构：

[1] Univ Clermont Ferrand, Clermont Ferrand, France

[2] Univ Paris 06, Paris, France

[3] Shanghai Jianshi Ltd, Shanghai, Peoples R China

[4] Google Kitchener Waterloo, Waterloo, ON, Canada

[5] Columbia Univ, New York, NY USA

[6] Concordia Univ, Montreal, PQ, Canada

[7] Univ Montreal, Montreal, PQ, Canada

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2015年 / 22卷 / 01期

关键词：

Combinatorial geometry; Metric space; Extremal combinatorics; METRIC-SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A special case of a combinatorial theorem of De Bruijn and Erdos asserts that every noncollinear set of n points in the plane determines at least n distinct lines. Chen and Chvatal 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.

引用

页数：6

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