The energy of graphs containing self-loops is considered. If the graph G of order n contains self-loops, then its energy is defined as E(G) = | i/n| where 1 , 2 , . . . , n are the eigenvalues of the adjacency matrix of G. Some basic properties of E(G) are established, and several open problems pointed out or conjectured.
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Gutman et al. (2021) studied this question.