We consider topological indices I that are sums of f(deg(u))f(deg(v)), where {u, v} are adjacent vertices and f is a function. The Randić connectivity index or the Zagreb group index are examples for indices of this kind. In earlier work on topological indices that are sums of independent random variables, we identified the correlation between I and the edge set of the molecular graph as the ma...

abstract successful treatment of drug abusers is hard to achieve without the abusers’ taking part in counseling and group therapy interventions. the present study compared the effectiveness of two group interventions, i.e., life enrichment and enhancement program (leap) and reality therapy (rt) with a sham control on improving the abusers’ improvement indicators. participants (n = 30) were in-t...

For a simple graph G with n vertices and m edges, the inequality M1(G)/n ≤ M2(G)/m, where M1(G) and M2(G) are the first and the second Zagreb indices of G, is known as Zagreb indices inequality. According to this inequality, a set S of integers is good if for every graph whose degrees of vertices are in S, the inequality holds. We characterize that an interval [a, a+n] is good if and only if a ...

The augmented eccentric connectivity index of a graph which is a generalization of eccentric connectivity index is defined as the summation of the quotients of the product of adjacent vertex degrees and eccentricity of the concerned vertex of a graph. In this paper we established some relationships between augmented eccentric connectivity index and several other graph invariants like number of ...