o:28908 New Bounds for Some Spectrum-Based Topological Indices of Graphs en Abstract: The spectrum-based graph invariant E(G), known as (ordinary) energy of a graph G, is defined by E(G) = ∑|λi|, where λ1 > λ2 > • • • > λn are the eigenvalues of G. Recently introduced resolvent energy of a graph is a type of graph energy based on resolvent matrix and defined by ER(G) = ∑(n − λi)-1. The resolvent Estrada index EEr(G) and resolvent signless Laplacian Estrada index SLEEr(G) are defined by EEr(G) = ∑(1 – λi/(n-1))-1 and SLEEr(G) = ∑(1 -qi/(2n−2))-1, respectively, where q1 > q2 > • • • > qn are signless Laplacian eigenvalues of graph G. Using some classical and recently obtained analytic inequalities we obtain several new lower and upper bounds for these graph invariants and improve some of the existing ones. In addition, some relations between the ordinary graph energy E(G) and the resolvent energy ER(G) are established. Keywords:Graph spectrum, energy of graphs, resolvent energy 1552101 0340-6253 2023-04-24T09:03:51.113Z 44 no 46 Emir Zogić Državni univerzitet u Novom Pazaru 0000-0002-1355-3785 Bojana Borovićanin person 0000-0003-1443-120X Edin Glogić Državni univerzitet u Novom Pazaru person 0000-0001-6295-8298 Igor Milovanović person 0000-0003-2209-9606 Emina Milovanović person 0000-0002-1905-4813 application/pdf 378621 https://phaidrabg.bg.ac.rs/o:28908 no yes 1 70 92000001 20A01 MATCH Communications in Mathematical and in Computer Chemistry 86 3 685 701 2021