Allem, Luiz Emilio Capaverde, Juliane Trevisan, Vilmar Gutman, Ivan Zogić, Emir Glogić, Edin MATCH Communications in Mathematical and in Computer Chemistry 77(1) Resolvent Energy of Unicyclic, Bicyclic and Tricyclic Graphs https://phaidrabg.bg.ac.rs/o:28923 ISSN: 0340-6253 2017 Keywords: Graph spectrum, energy of graphs, resolvent energy Abstract: The resolvent energy of a graph G of order n is defined as ER(G) = ∑(n − λi)-1, where λ1, λ2, . . . , λn are the eigenvalues of G. In a recent work [Gutman et al., MATCH Commun. Math. Comput. Chem. 75 (2016) 279–290] the structure of the graphs extremal w.r.t. ER were conjectured, based on an extensive computer–aided search. We now confirm the validity of some of these conjectures. info:eu-repo/semantics/article application/pdf 384625 bytes eng All rights reserved