Some sufficient spectral conditions on Hamilton-connected and traceable graphs

Qiannan Zhou, Ligong Wang

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

In this paper, we establish some sufficient conditions for a graph to be Hamilton-connected in terms of the edge number, the spectral radius and the signless Laplacian spectral radius of the graph. Furthermore, we also give some sufficient conditions for a graph to be traceable from every vertex in terms of the edge number, the spectral radius and the signless Laplacian spectral radius.

Original languageEnglish
Pages (from-to)224-234
Number of pages11
JournalLinear and Multilinear Algebra
Volume65
Issue number2
DOIs
StatePublished - 1 Feb 2017

Keywords

  • Hamilton-connected
  • signless Laplacian spectral radius
  • spectral radius
  • traceable from every vertex

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