BOUNDS FOR SIGNLESS LAPLACIAN SPECTRAL RADIUS

Nurkahli S. B., Kabatas U., Kizilca F.

JOURNAL OF SCIENCE AND ARTS, no.3, pp.631-644, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.631-644
  • Gazi University Affiliated: Yes

Abstract

We consider weighted graphs, such as graphs where the edge weights are positive definite matrices of the same order in this paper. The signless Laplacian eigenvalues of a graph are the eigenvalues of the signless Laplacian matrix of a graph G. Then, we have give some bound and found different upper bounds for the signless Laplacian radius of weighted graphs. We have obtained some results by characterizing these upper bounds.