Ordering the oriented unicyclic graphs whose skew-spectral radius is bounded by 2

被引:0
作者
Ping-Feng Chen
Guang-Hui Xu
Li-Pu Zhang
机构
[1] Zhejiang A&F University,School of Information Engineering
[2] Zhejiang A&F University,School of Science
来源
Journal of Inequalities and Applications | / 2013卷
关键词
oriented unicyclic graph; skew-adjacency matrix; skew-spectral radius;
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摘要
Let S(Gσ) be the skew-adjacency matrix of an oriented graph Gσ with n vertices, and let λ1,λ2,…,λn be all eigenvalues of S(Gσ). The skew-spectral radius ρs(Gσ) of Gσ is defined as max{|λ1|,|λ2|,…,|λn|}. A connected graph, in which the number of edges equals the number of vertices, is called a unicyclic graph. In this paper, the structure of oriented unicyclic graphs whose skew-spectral radius does not exceed 2 is investigated. We order all the oriented unicyclic graphs with n vertices whose skew-spectral radius is bounded by 2.
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