Signless Laplacian Spread and Hamiltonicity of Graphs Signless Laplacian Spread and Hamiltonicity of Graphs

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Rao Li

Abstract

The signless Laplacian spread of a graph G is the difference between the largest and smallest signless Lapacian eigenvalues of G. Using a result on the signless Laplacian spread obtained by Liu and Liu in [3], we in this note present a sufficient condition based on the signless Laplacian spread for the Hamiltonicity of graphs. 2010 Mathematics Subject Classification: 05C50, 05C45.

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