Distance signless Laplacian spectral radius and Hamiltonian properties of graphs |
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Authors: | Qiannan Zhou |
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Affiliation: | Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Shaanxi, P.R. China. |
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Abstract: | In this paper, we establish a sufficient condition on distance signless Laplacian spectral radius for a bipartite graph to be Hamiltonian. We also give two sufficient conditions on distance signless Laplacian spectral radius for a graph to be Hamilton-connected and traceable from every vertex, respectively. Furthermore, we obtain a sufficient condition for a graph to be Hamiltonian in terms of the distance signless Laplacian spectral radius of the complement of a graph G. |
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Keywords: | Hamilton-connected traceable from every vertex distance signless Laplacian spectral radius |
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