Small odd cycles in 4-chromatic graphs

Small odd cycles in 4-chromatic graphs
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DOI:
10.1002/jgt.v37:2
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发表时间:
2001-06
影响因子:
0.9
通讯作者:
Tao Jiang
Tao Jiang
中科院分区:
数学3区
文献类型:
--
作者:
Tao Jiang

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证明了n个顶点上的每个4-色图都有一个长度小于$2,+3的奇圈。这改进了Nilli[J Graph Theort3(1999),145-147]以前给出的界。?2001 John Wiley&Sons,Inc.《图论》37:115-117,2001 1990数学学科分类05C35,05C55。
It is shown that every 4-chromatic graph on n vertices contains an odd cycle of length less than $2\sqrt {n}\,+3$. This improves the previous bound given by Nilli [J Graph Theory 3 (1999), 145–147]. © 2001 John Wiley & Sons, Inc. J Graph Theory 37: 115–117, 2001 1990 Mathematics Subject Classification 05C35, 05C55.