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.
Acknowledgements
The authors are grateful to the anonymous referee for his or her valuable comments, suggestions and corrections which improved the presentation of this paper.
Notes
No potential conflict of interest was reported by the authors.