The Upper Bound for the Largest Signless Laplacian Eigenvalue of Weighted Graphs

BÜYÜKKÖSE Ş., Mutlu N.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.28, no.4, pp.709-714, 2015 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 4
  • Publication Date: 2015
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.709-714
  • Gazi University Affiliated: Yes

Abstract

In this study, we find an upper bound for the largest signless Laplacian eigenvalue of simple connected weighted graphs, where edge weights are positive definite square matrices. Also we obtain some results on weighted and unweighted graphs by using this bound.