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On the Signless Laplacian Spectral Radius of Graphs without Small Books and Intersecting Quadrangles

Author

Listed:
  • Ming-Zhu Chen

    (School of Science, Hainan University, Haikou 570228, China)

  • Ning Wang

    (School of Science, Hainan University, Haikou 570228, China)

  • A-Ming Liu

    (School of Science, Hainan University, Haikou 570228, China)

  • Aleksandr A. Makhnev

    (Institute of Mathematics and Mechanics of UB RAS, Ekaterinburg 620219, Russia)

Abstract

In this paper, we determine the maximum signless Laplacian spectral radius of all graphs which do not contain small books as a subgraph and characterize all extremal graphs. In addition, we give an upper bound of the signless Laplacian spectral radius of all graphs which do not contain intersecting quadrangles as a subgraph.

Suggested Citation

  • Ming-Zhu Chen & Ning Wang & A-Ming Liu & Aleksandr A. Makhnev, 2022. "On the Signless Laplacian Spectral Radius of Graphs without Small Books and Intersecting Quadrangles," Mathematics, MDPI, vol. 10(19), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3425-:d:920508
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