Colourings with Bounded Monochromatic Components in Graphs of Given Circumference

Colourings with Bounded Monochromatic Components in Graphs of Given Circumference
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给定周长图中具有有界单色分量的着色

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
D. Wood
D. Wood
中科院分区:
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文献类型:
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作者:
B. Mohar;B. Reed;D. Wood

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我们证明了每一个周长不超过$k$的图都是$O(log k)$-列,使得每一个单色分支的大小不超过$O(k)$。O(log k)$约束的颜色的数量是最好的可能的,即使在设置的着色与有限的单色度。
We prove that every graph with circumference at most $k$ is $O(log k)$-colourable such that every monochromatic component has size at most $O(k)$. The $O(log k)$ bound on the number of colours is best possible, even in the setting of colourings with bounded monochromatic degree.
ErdÅsâPósa 的长电路特性
DOI: 10.1002/jgt.21769
发表时间: --
影响因子: 0.9
作者:
D. Meierling;D. Rautenbach;T. Sasse
通讯作者: T. Sasse