o:28911 Some new bounds on Randić energy en 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. Keywords: Normalized Laplacian matrix, Randić matrix, Randić energy 1552101 1450-9628 2023-04-24T09:59:07.537Z 44 no 46 Emir Zogić Državni univerzitet u Novom Pazaru 0000-0002-1355-3785 Bojana Borovićanin person 0000-0003-1443-120X application/pdf 404078 https://phaidrabg.bg.ac.rs/o:28911 no yes 1 70 92000001 20A01 Kragujevac Journal of Mathematics 43 3 393 398 2019