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Kite graphs determined by their spectra

Author

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  • Das, Kinkar Ch.
  • Liu, Muhuo

Abstract

A kite graph Kin, ω is a graph obtained from a clique Kω and a path Pn−ω by adding an edge between a vertex from the clique and an endpoint from the path. In this note, we prove that Kin,n−1 is determined by its signless Laplacian spectrum when n ≠ 5 and n ≥ 4, and Kin,n−1 is also determined by its distance spectrum when n ≥ 4.

Suggested Citation

  • Das, Kinkar Ch. & Liu, Muhuo, 2017. "Kite graphs determined by their spectra," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 74-78.
    • Handle: RePEc:eee:apmaco:v:297:y:2017:i:c:p:74-78
    DOI: 10.1016/j.amc.2016.10.032
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    Cited by:

    1. Topcu, Hatice & Sorgun, Sezer, 2018. "The kite graph is determined by its adjacency spectrum," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 134-142.
    2. B. R. Rakshith, 2022. "Signless Laplacian spectral characterization of some disjoint union of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 233-245, March.
    3. Cui, Shu-Yu & Tian, Gui-Xian, 2017. "The spectra and the signless Laplacian spectra of graphs with pockets," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 363-371.
    4. Lei, Xingyu & Wang, Jianfeng, 2022. "Spectral determination of graphs with one positive anti-adjacency eigenvalue," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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