2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143674The energy of a graph G, denoted by E(G), is defined as the sum of the absolute values of all eigenvalues of G. It is proved that E(G)>= 2(n-χ(\bar{G}))>= 2(ch(G)-1) for every graph G of order n, and that E(G)>= 2ch(G) for all graphs G except for those in a few specified families, where \bar{G}, χ(G), and ch(G) are the complement, the chromatic number, and the choice number of G, respectively.to appear in Linear Algebra and its ApplicationsCombinatorics05C15, 05C50, 15A03text