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Das, Kinkar Ch; Mojallal, Seyed Ahmad; Gutman, Ivan
Linear algebra and its applications, 06/2016, Volume: 499Journal Article
The energy E(G) of a simple graph G is the sum of absolute values of the eigenvalues of its adjacency matrix. The line graph of G is denoted by LG. We obtain a relation between E(LG) and E(G), and establish bounds on E(LG). Moreover, we present results pertaining to equienergetic and hyperenergetic graphs.
