Spectral conditions for a graph to be Hamilton-connected

Published 27 Jul 2012 in math.CO | (1207.6447v1)

Abstract: In this paper we establish some spectral conditions for a graph to be Hamilton-connected in terms of the spectral radius of the adjacency matrix or the signless Laplacian of the graph or its complement. For the existence of Hamiltonian paths or cycles in a graph, we also give a sufficient condition by the signless Laplacian spectral radius.

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