A characterization of metacirculants
A characterization of metacirculants
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元循环的表征
DOI:
10.1016/j.jcta.2012.06.010
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发表时间:
2013
期刊:
影响因子:
--
通讯作者:
Wang, Dian Jun
中科院分区:
文献类型:
--
作者:
Li, Cai Heng;Song, Shu Jiao;Wang, Dian Jun
Metacirculants were introduced by Alspach and Parsons in 1982 and have been a rich source of various topics since then, including the Hamiltonian path problem in metacirculants. A metacirculant has a vertex-transitive metacyclic subgroup of automorphisms, and a long-standing interesting question in the area is if the converse statement is true, namely, whether a graph with a vertex-transitive metacyclic automorphism group is a metacirculant. We shall answer this question in the negative, and then present a classification of cubic metacirculants.
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