Central Indices Energy of Special Graphs

Document Type : Original Article

Authors

1 Department of Mathematics, Statistics and Computer Science

2 Department of mathematics, statistics and computer science of Semnan university

10.22061/jmns.2021.6674.1044

Abstract

Given a graph G with vertex set V (G) = {v1, v2, · · · , vn}. Let di be the degree of the vertex vi in G for i = 1,2, · · ·, n. We introduce the sum of degrees and the product of degrees matrices of a graph. Furthermore, we consider the central indices matrix as an Arithmetic mean matrix, Geometric mean matrix, and Harmonic mean matrix. The spectral of these matrices has been computed. In this paper, we investigate the central indices energy of some classes of graphs and several results concerning its energy have been obtained.

Graphical Abstract

Central Indices Energy of Special Graphs

Keywords



Articles in Press, Accepted Manuscript
Available Online from 29 November 2021
  • Receive Date: 19 March 2020
  • Accept Date: 06 January 2021
  • First Publish Date: 29 November 2021