Cycles through specified vertices in 1-tough graphs

Cycles through specified vertices in 1-tough graphs
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循环遍历 1-tough 图中的指定顶点

DOI:
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发表时间:
2000
期刊:
Ars Comb.
影响因子:
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通讯作者:
L. Stacho
L. Stacho
中科院分区:
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文献类型:
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作者:
L. Stacho

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Bollobb, Brightwell 1]和独立的Shi 3]证明了在任意n阶的2连通图中,通过至少n次的所有顶点的循环的存在性。本文的目的是证明对于1-坚韧图,上述的次数要求是可以放宽的。
Bollobb as, Brightwell 1] and independently Shi 3] proved the existence of a cycle through all vertices of degree at least n 2 in any 2-connected graph of order n. The aim of this paper is to show that the above degree requirement can be relaxed for 1-tough graphs.