Signless Laplacian spectral radius and Hamiltonicity of graphs with large minimum degree

摘要

In this paper, we establish a tight sufficient condition for theHamiltonicity of graphs with large minimum degree in terms of the signlessLaplacian spectral radius and characterize all extremal graphs. Moreover, weprove a similar result for balanced bipartite graphs. Additionally, weconstruct infinitely many graphs to show that results proved in this paper givenew strength for one to determine the Hamiltonicity of graphs.