Journal of Mathematical Nanoscience
https://jmathnano.sru.ac.ir/
Journal of Mathematical Nanoscienceendaily1Sat, 01 Jun 2019 00:00:00 +0430Sat, 01 Jun 2019 00:00:00 +0430Central indices energy of special graphs
https://jmathnano.sru.ac.ir/article_1639.html
Given a graph $ G $ with vertex set $ V (G) = \\\\\\\\{v_1, v_2, \\\\\\\\cdots, v_n\\\\\\\\} $. Let $ d_i $ be the degree of the vertex $ v_i $ in $G$ for $ i = 1, 2, \\\\\\\\cdots, 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.Central Indices Energy of Special Graphs
https://jmathnano.sru.ac.ir/article_1640.html
Given a graph G with vertex set V (G) = {v1, v2, &middot; &middot; &middot; , vn}. Let di be the degree of the vertex vi in G for i = 1,2, &middot; &middot; &middot;, 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.