List Colouring When The Chromatic Number Is Close To the Order Of The Graph

List Colouring When The Chromatic Number Is Close To the Order Of The Graph
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DOI:
10.1007/s00493-005-0010-x
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发表时间:
2004-12
期刊:
影响因子:
1.1
通讯作者:
B. Reed;B. Sudakov
B. Reed;B. Sudakov
中科院分区:
数学2区
文献类型:
--
作者:
B. Reed;B. Sudakov

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列表着色的一个实例由图G和G的每个顶点v的颜色列表L (v)组成。我们被要求确定G是否有一个可接受的着色,即每个顶点从其列表中接收到一种颜色,并且没有任何一条边的两个端点都有相同的颜色。
An instance of List Colouring consists of a graph G and a list L (v) of colours for each vertex v of G. We are asked to determine if there is an acceptable colouring of G, that is a colouring in which each vertex receives a colour from its list, and no edge has both its endpoints coloured with the same colour.