Vertex-colouring edge-weightings

被引：93

作者：

Addario-Berry, Louigi ^{[1
]}

Dalal, Ketan

McDiarmid, Colin

Reed, Bruce A.

Thomason, Andrew

机构：

[1] McGill Univ, Sch Comp Sci, Montreal, PQ H3A 2A7, Canada

[2] Univ Oxford, Dept Stat, Oxford OX1 3TG, England

[3] DPMMS, Ctr Math Sci, Cambridge CB3 0WB, England

来源：

COMBINATORICA | 2007年 / 27卷 / 01期

关键词：

05C15;

D O I：

10.1007/s00493-007-0041-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A weighting w of the edges of a graph G induces a colouring of the vertices of G where the colour of vertex v, denoted c(v), is Sigma(e is an element of v) w(e). We show that the edges of every graph that does not contain a component isomorphic to K-2 can be weighted from the set {1,...,30} such that in the resulting vertex-colouring of G, for every edge (u, v) of G, c(u) not equal c(v).

引用

页码：1 / 12

页数：12

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