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Maximal signed graphs with odd signed cycles as star complements

Author

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  • Yuan, Xiying
  • Mao, Yanqi
  • Liu, Lele

Abstract

Maximal signed graphs with signed cycles C3 or C5 as a star complement for (adjacency) eigenvalue −2 are completely characterized in this paper. The switching equivalence of the maximal signed graphs is studied. Specifically, if Σ1′ is switching equivalent to Σ2′, and Σ1 is a maximal signed graph with Σ1′ as a star complement for μ, then there exists a maximal signed graph Σ2 switching equivalent to Σ1 with Σ2′ as a star complement for μ. We also consider the order of the maximal signed graphs with odd cycle as a star complement for eigenvalue −2.

Suggested Citation

  • Yuan, Xiying & Mao, Yanqi & Liu, Lele, 2021. "Maximal signed graphs with odd signed cycles as star complements," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    • Handle: RePEc:eee:apmaco:v:408:y:2021:i:c:s0096300321004562
    DOI: 10.1016/j.amc.2021.126367
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    Cited by:

    1. Rowlinson, Peter & Stanić, Zoran, 2022. "Signed graphs whose spectrum is bounded by −2," Applied Mathematics and Computation, Elsevier, vol. 423(C).

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