Decompositions of graphs into cycles with chords

Decompositions of graphs into cycles with chords
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DOI:
10.1016/j.jctb.2017.07.002
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发表时间:
2018
期刊:
J. Comb. Theory B
影响因子:
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通讯作者:
P. Balister;Hao Li;R. Schelp
P. Balister;Hao Li;R. Schelp
中科院分区:
其他
文献类型:
--
作者:
P. Balister;Hao Li;R. Schelp

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我们证明了如果G是一个至少有3个r+ 4 s顶点且最小度至少为2 r+ 3 s的图,则G包含r+ s个顶点不交圈,其中每个圈包含两个弦,或者是4阶且包含一个弦.
We show that if G is a graph on at least 3 r+ 4 s vertices with minimum degree at least 2 r+ 3 s, then G contains r+ s vertex disjoint cycles, where each of s of these cycles either contain two chords, or are of order 4 and contain one chord.