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arXiv · 1207.6447

Spectral conditions for a graph to be Hamilton-connected

Gui-Dong Yu·Yi-Zheng Fan
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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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Gui-Dong Yu, Yi-Zheng Fan. 2012-07-27. Spectral conditions for a graph to be Hamilton-connected. https://doi.org/10.4028/www.scientific.net%2Famm.336-338.2329

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