Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes

Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes
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DOI:
10.1016/j.jctb.2019.05.001
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发表时间:
2017-01
期刊:
J. Comb. Theory, Ser. B
影响因子:
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通讯作者:
M. Chudnovsky;A. Scott;P. Seymour;S. Spirkl
M. Chudnovsky;A. Scott;P. Seymour;S. Spirkl
中科院分区:
其他
文献类型:
--
作者:
M. Chudnovsky;A. Scott;P. Seymour;S. Spirkl

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本文证明了AndrásGyárfás的一个猜想:对任意的图κ,λ,每个团数不超过κ且色数足够大的图都有一个长度不小于λ的奇洞.
We prove a conjecture of András Gyárfás, that for all κ, ℓ, every graph with clique number at most κ and sufficiently large chromatic number has an odd hole of length at least ℓ.