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Laplacian Spectrum of Non-Commuting Graphs of Finite Groups

Author

Listed:
  • Parama Dutta

    (Tezpur University)

  • Jutirekha Dutta

    (Tezpur University)

  • Rajat Kanti Nath

    (Tezpur University)

Abstract

In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all the groups considered in this paper are L-integral. We also obtain some conditions on a group so that its non-commuting graph is L-integral.

Suggested Citation

  • Parama Dutta & Jutirekha Dutta & Rajat Kanti Nath, 2018. "Laplacian Spectrum of Non-Commuting Graphs of Finite Groups," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(2), pages 205-216, June.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:2:d:10.1007_s13226-018-0263-x
    DOI: 10.1007/s13226-018-0263-x
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