文章基本信息

标题：Energy Conditions for Hamiltonicity of Graphs
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作者：Guidong Yu ; Gaixiang Cai ; Miaolin Ye 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2014
卷号：2014
DOI：10.1155/2014/305164
出版社：Hindawi Publishing Corporation
摘要：Let be an undirected simple graph of order . Let be the adjacency matrix of , and let be its eigenvalues. The energy of is defined as . Denote by a bipartite graph. In this paper, we establish the sufficient conditions for having a Hamiltonian path or cycle or to be Hamilton-connected in terms of the energy of the complement of , and give the sufficient condition for having a Hamiltonian cycle in terms of the energy of the quasi-complement of .