Naslov (eng)

New Bounds for Some Spectrum-Based Topological Indices of Graphs

Autor

Borovićanin, Bojana
Glogić, Edin
Milovanović, Emina
Zogić, Emir
Milovanović, Igor

Opis (eng)

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.

Jezik

engleski

Datum

2021

Licenca

© All rights reserved

Predmet

Keywords:Graph spectrum, energy of graphs, resolvent energy

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