o:28923 Resolvent Energy of Unicyclic, Bicyclic and Tricyclic Graphs en 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. Keywords: Graph spectrum, energy of graphs, resolvent energy 1552101 0340-6253 2023-04-25T08:28:09.947Z 44 no 46 Luiz Emilio Allem 0000-0001-9866-1541 Juliane Capaverde person 0000-0002-8483-3100 Vilmar Trevisan person 0000-0002-7053-8530 Ivan Gutman person 0000-0001-9681-1550 Emir Zogić Državni univerzitet u Novom Pazaru person 0000-0002-1355-3785 Edin Glogić Državni univerzitet u Novom Pazaru person 0000-0001-6295-8298 application/pdf 384625 https://phaidrabg.bg.ac.rs/o:28923 no yes 1 70 92000001 20A01 MATCH Communications in Mathematical and in Computer Chemistry 77 1 95 104 2017