Some recent results in hamiltonian graphs

Some recent results in hamiltonian graphs
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哈密​​尔顿图的一些最新结果

DOI:
10.1002/jgt.3190010109
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发表时间:
1977
期刊:
J. Graph Theory
影响因子:
--
通讯作者:
L. Lesniak
L. Lesniak
中科院分区:
--
文献类型:
--
作者:
L. Lesniak

文献摘要

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评述了哈密顿理论的各种最新发展。特别讨论了图是哈密顿的几个充分条件,线形图的某些哈密顿性质,以及图的幂的各种哈密顿性质。在此基础上,引入了远距哈密顿图的概念,并给出了涉及这类特殊哈密顿图的若干定理。
A variety of recent developments in hamiltonian theory are reviewed. In particular, several sufficient conditions for a graph to be hamiltonian, certain hamiltonian properties of line graphs, and various hamiltonian properties of powers of graphs are discussed. Furthermore, the concept of ann‐distant hamiltonian graph is introduced and several theorems involving this special class of hamiltonian graphs are presented.