Naslov (eng)

Some new bounds on Randić energy

Autor

Zogić, Emir
Borovićanin, Bojana

Opis (eng)

Abstract: Let G = (V , E) be a simple graph of order n with vertex set V =V (G) = {v1, v2, . . . , vn} and edge set E = E(G). Let di be the degree of the vertex vi in G for i = 1, 2, . . . , n. The Randić matrix R = ∥Rij∥ is defined by Rij =1/√didj if vi and vj are adjacent and 0, otherwise. The eigenvalues of matrix R, denoted by ρ1, ρ2, . . . , ρn, are called the Randić eigenvalues of graph G. The Randić energy of graph G, denoted by RE, is defined as RE = RE(G) =∑|ρi|. In this paper we establish some new upper and lower bounds on Randić energy.

Jezik

engleski

Datum

2019

Licenca

© All rights reserved

Predmet

Keywords: Normalized Laplacian matrix, Randić matrix, Randić energy

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