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

Ming-Zhu Chen, Ning Wang, A-Ming Liu () and Aleksandr A. Makhnev
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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

Mathematics, 2022, vol. 10, issue 19, 1-9

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.

Keywords: forbidden subgraphs; signless Laplacian matrix; signless Laplacian spectral radius; extremal graphs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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