o:28918 Remarks on the upper bound for the Randic energy of bipartite graphs en 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. Keywords: Graph spectrum, graph energy, Randić matrix, Randić energy 1552099 10.1016/j.dam.2016.12.005 1552101 0166-218X 2023-04-25T06:27:33.022Z 44 no 46 Edin Glogić Državni univerzitet u Novom Pazaru 0000-0001-6295-8298 Emir Zogić Državni univerzitet u Novom Pazaru person 0000-0002-1355-3785 Nataša Glišović person 0000-0003-4056-089X application/pdf 370516 https://phaidrabg.bg.ac.rs/o:28918 no yes 1 70 92000001 20A01 Discrete Applied Mathematics 221 67 70 2017