Zagreb Energy of Weighted Graphs

Year 2021, Volume: 13 Issue: 1, 162 - 173, 30.06.2021

N. Feyza Yalçın Ahmet Kılıç

Abstract

In this paper, first Zagreb and second Zagreb matrices are defined for
weighted graphs and accordingly the first Zagreb and second Zagreb energy of
weighted graphs are introduced. Moreover, some upper and lower bounds are
presented for Zagreb energy of positive definite matrix weighted graphs.
Also some bounds are obtained for number weighted and unweighted graphs.

Keywords

Weighted graph, graph energy, Zagreb energy

Project Number

21002

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