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On Signless Laplacian Spectra of \(H\)-joins

Jing Li1, Bo Zhou1
1School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China

Abstract

We determine the signless Laplacian spectrum for the \( H \)-join of regular graphs \( G_1, \ldots, G_p \). We also find an expression and upper bounds for the signless Laplacian spread of the \( H \)-join of regular graphs \( G_1, \ldots, G_p \).

Keywords: signless Laplacian eigenvalues, signless Laplacian spread, graph, regular graph, H-join