Distance signless Laplacian spectral radius and Hamiltonian properties of graphs

作者：Zhou, Qiannan; Wang, Ligong^*

来源：Linear and Multilinear Algebra, 2017, 65(11): 2316-2323.

DOI：10.1080/03081087.2016.1273314

• Hamilton-connected
• traceable from every vertex
• distance signless Laplacian spectral radius
• 05C50
• 15A18
• 05C38

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.

• 出版日期2017
• 单位西北工业大学