English

Spectral conditions for a graph to be Hamilton-connected

Combinatorics 2014-09-19 v1

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.

Keywords

Cite

@article{arxiv.1207.6447,
  title  = {Spectral conditions for a graph to be Hamilton-connected},
  author = {Gui-Dong Yu and Yi-Zheng Fan},
  journal= {arXiv preprint arXiv:1207.6447},
  year   = {2014}
}
R2 v1 2026-06-21T21:42:22.815Z