Abstract
In the theory of total π-electron energy ( E) an auxiliary quantity is defined via γ ∗=[n(2mn−E 2)]/[2m(2m+n−2E)] , where n and m denote the number of vertices and edges of the molecular graph. Within classes of structurally similar conjugated systems a very good linear correlation between γ ∗ and n is observed, apparently contradicting to the way in which γ ∗ (by definition) depends on n, m, E. We now establish the condition which E must satisfy, in order that γ ∗ be a linear function of n: the condition for an exact linear relation between γ ∗ and n is E= m.
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