A simpler proof for the two disjoint odd cycles theorem

A simpler proof for the two disjoint odd cycles theorem
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DOI:
10.1016/j.jctb.2012.11.004
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发表时间:
2013-05
期刊:
J. Comb. Theory B
影响因子:
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通讯作者:
K. Kawarabayashi;K. Ozeki
K. Kawarabayashi;K. Ozeki
中科院分区:
其他
文献类型:
--
作者:
K. Kawarabayashi;K. Ozeki

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We give a short proof of the two disjoint odd cycles theorem which characterizes graphs without two vertex-disjoint odd cycles. Our proof does not depend on any matroid result. It only uses the two paths theorem, which characterizes graphs without two disjoint paths with specified ends (i.e., 2-linked graphs).