On a Conjecture Concerning the Petersen Graph: Part II

On a Conjecture Concerning the Petersen Graph: Part II
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关于彼得森图的猜想:第二部分

DOI:
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发表时间:
2014
影响因子:
0.7
通讯作者:
X. Zha
X. Zha
中科院分区:
数学4区
文献类型:
--
作者:
M. Plummer;X. Zha

文献摘要

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Robertson推测,周长为5且每个长度大于5的奇循环都有弦的唯一的3连通、内部4连通图是Petersen图。我们为这个猜想提供了一个反例。
Robertson conjectured that the only 3-connected, internally 4-connected graph of girth 5 in which every odd cycle of length greater than 5 has a chord is the Petersen graph.  We provide a counterexample to this conjecture.