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The kite graph is determined by its adjacency spectrum

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  • Topcu, Hatice
  • Sorgun, Sezer

Abstract

The kite graph is obtained by appending the complete graph with p vertices to a pendant vertex of the path graph with q vertices. In this paper, we prove that the kite graph is determined by its adjacency spectrum for all p and q.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:apmaco:v:330:y:2018:i:c:p:134-142
    DOI: 10.1016/j.amc.2018.02.037
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    References listed on IDEAS

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    1. van Dam, E.R. & Haemers, W.H., 2002. "Which Graphs are Determined by their Spectrum?," Discussion Paper 2002-66, Tilburg University, Center for Economic Research.
    2. Das, Kinkar Ch. & Liu, Muhuo, 2017. "Kite graphs determined by their spectra," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 74-78.
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    Cited by:

    1. 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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