Bicyclic oriented graphs with skew-rank 6

Yong Lu; Ligong Wang; Qiannan Zhou

doi:10.1016/j.amc.2015.08.105

Bicyclic oriented graphs with skew-rank 6

Yong Lu
, Ligong Wang
, Qiannan Zhou

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

Let G^σ be an oriented graph and S(G^σ) be its skew-adjacency matrix. The skew-rank of G^σ, denoted by sr(G^σ), is the rank of S(G^σ). In this paper, we characterize all the bicyclic oriented graphs with skew-rank 6. Let G^σ be a bicyclic oriented graph with pendant vertices but no pendant twins. If sr(^Gσ)=6, then 6 < |V(G)| < 10.

源语言	英语
页（从-至）	899-908
页数	10
期刊	Applied Mathematics and Computation
卷	270
DOI	https://doi.org/10.1016/j.amc.2015.08.105
出版状态	已出版 - 1 11月 2015

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author = "Yong Lu and Ligong Wang and Qiannan Zhou",

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N2 - Let Gσ be an oriented graph and S(Gσ) be its skew-adjacency matrix. The skew-rank of Gσ, denoted by sr(Gσ), is the rank of S(Gσ). In this paper, we characterize all the bicyclic oriented graphs with skew-rank 6. Let Gσ be a bicyclic oriented graph with pendant vertices but no pendant twins. If sr(Gσ)=6, then 6 < |V(G)| < 10.

AB - Let Gσ be an oriented graph and S(Gσ) be its skew-adjacency matrix. The skew-rank of Gσ, denoted by sr(Gσ), is the rank of S(Gσ). In this paper, we characterize all the bicyclic oriented graphs with skew-rank 6. Let Gσ be a bicyclic oriented graph with pendant vertices but no pendant twins. If sr(Gσ)=6, then 6 < |V(G)| < 10.

KW - Bicyclic oriented graph

KW - Oriented graph

KW - Skew-adjacency matrix

KW - Skew-rank

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JO - Applied Mathematics and Computation

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ER -

Bicyclic oriented graphs with skew-rank 6

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