Naslov (eng)

Remarks on the upper bound for the Randic energy of bipartite graphs

Autor

Zogić, Emir
Glogić, Edin
Glišović, Nataša

Opis (eng)

Abstract: Let G = (V , E), V = {1, 2, . . . , n} be a simple graph without isolated vertices, with n(n ≥ 3) vertices and m edges, whose vertex degrees are given in the following form d1 ≥ d2 ≥ • • • ≥ dn > 0. If A is the adjacency matrix, the Randić matrix R = ∥Rij∥ is defined in the following way Rij =1/√didj if vi and vj are adjacent and 0, otherwise. The eigenvalues of matrix R, ρ1 ≥ ρ2 ≥ • • • ≥ ρn, are called the Randić eigenvalues of graph G. The Randić energy of graph G, denoted by RE, is defined in the following way: RE = RE(G) =|ρi|. In this paper, upper bounds for graph invariant RE have been studied.

Jezik

engleski

Datum

2017

Licenca

© All rights reserved

Predmet

Keywords: Graph spectrum, graph energy, Randić matrix, Randić energy

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