Abstract

Let G be a molecular graph. The total-eccentricity index of graph G is defined as the sum of eccentricities of all vertices of G. The extremal trees, unicyclic and bicyclic graphs, and extremal conjugated trees with respect to total-eccentricity index are known. In this paper, we extend these results and study the extremal conjugated unicyclic and bicyclic graphs with respect to total-eccentricity index.