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Bicyclic oriented graphs with skew-rank 2 or 4

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  • Qu, Hui
  • Yu, Guihai

Abstract

The skew-rank of oriented graph Gσ, denoted by sr(Gσ), is the rank of the skew-adjacency matrix of Gσ. The skew-rank is even since the skew-adjacency matrix is skew-symmetric. In this paper we characterize the bicyclic oriented graphs with skew-rank 2 or 4.

Suggested Citation

  • Qu, Hui & Yu, Guihai, 2015. "Bicyclic oriented graphs with skew-rank 2 or 4," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 182-191.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:182-191
    DOI: 10.1016/j.amc.2015.02.014
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    Cited by:

    1. Jinling Yang & Ligong Wang & Xiuwen Yang, 2021. "Some mixed graphs with H-rank 4, 6 or 8," Journal of Combinatorial Optimization, Springer, vol. 41(3), pages 678-693, April.
    2. Lang, Rongling & Li, Tao & Mo, Desen & Shi, Yongtang, 2016. "A novel method for analyzing inverse problem of topological indices of graphs using competitive agglomeration," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 115-121.
    3. Jing Huang & Shuchao Li & Hua Wang, 2018. "Relation between the skew-rank of an oriented graph and the independence number of its underlying graph," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 65-80, July.
    4. Yong Lu & Ligong Wang & Qiannan Zhou, 2019. "The rank of a complex unit gain graph in terms of the rank of its underlying graph," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 570-588, August.
    5. Lu, Yong & Wang, Ligong & Zhou, Qiannan, 2015. "Bicyclic oriented graphs with skew-rank 6," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 899-908.

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