Abstract

The Brualdi-Solheid-Tur?n type problem has attracted wide attention recently. Let F be a set of graphs. A graph G is F -free if it does not contain any element of F as a subgraph. In this paper, when F1 = {W5,C6} and F2 = {F5}, we determine the maximum signless Laplacian spectral radius of Fi-free graph with n vertices, respectively and depict the corresponding extremal graph for i = 1,2.

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