Improvement on the decay of crossing numbers

被引：0

作者：

Cerny, Jakub ^{[1
]}

Kyncl, Jan ^{[1
]}

Toth, Geza ^{[2
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Appl Math, Malostranske 25, George Town 11800, Malaysia

[2] Hungarian Acad Sci, Renyi Inst, H-1053 Budapest, Hungary

来源：

GRAPH DRAWING | 2008年 / 4875卷

关键词：

D O I：

暂无

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We prove that the crossing number of a graph decays in a "continuous fashion" in the following sense. For any epsilon > 0 there is a delta > 0 such that for n sufficiently large, every graph G with n vertices and m >= n(1+epsilon) edges has a subgraph G' of at most (1 - delta)m edges and crossing number at least (1 - epsilon)CR(G). This generalizes the result of J. Fox and Cs. Toth.

引用

页码：25 / +

页数：2

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