SOME BOUNDS FOR THE LARGEST EIGENVALUE OF WEIGHTED DISTANCE MATRIX AND WEIGHTED DISTANCE ENERGY

BÜYÜKKÖSE Ş., Mutlu N., Nurkahli S. B.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.245-256, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.245-256
  • Gazi University Affiliated: Yes

Abstract

In this study, the weighted distance matrix and the weighted distance energy for simple connected weighted graphs are considered and some bounds for the largest eigenvalue of the weighted distance matrix and the weighted distance enrgy are found. Moreover, some results are obtained by using these bounds for weighted and unweighted graphs.