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Let G be a graph on n vertices with r := n/2 and let λ1 ≥ · · · ≥ λn be adjacency eigenvalues of G. Then the Hückel energy of G, HE(G), is defined as HE(G) = (2 P r i=1 λi, if n = 2r; 2 P r i=1 λi + λr+1, if n = 2r + 1. The concept of Hückel energy was introduced by Coulson as it gives a good approximation for the π-electron energy of molecular graphs. We… (More)

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