K-walks of Graphs

K-walks of Graphs
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图的 K 游走

DOI:
10.1002/jgt.3190200309
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发表时间:
1990
期刊:
Australas. J Comb.
影响因子:
--
通讯作者:
N. Wormald
N. Wormald
中科院分区:
--
文献类型:
--
作者:
B. Jackson;N. Wormald

文献摘要

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我们得到了一个图的生成闭行走与每个顶点恰好相遇k次或至多相遇k次的各种充分条件。特别地,我们推广了Oberly和Sumner的结果,每个连通的,局部连通的Kl,3-free图至少有三个顶点是哈密尔顿。
We obtain various sufficient conditions for a graph to have a spanning closed walk meeting each vertex exactly k times or meeting each vertex at most k times. In particular, we generalise the result of Oberly and Sumner that every connected, locally connected K l,3-free graph with at least three vertices is hamil tonian.