On the Forgotten Eccentricity Connectivity Topological Index of Pseudo-regular Graphs

For a graph G=(V,E), the second degree of a vertex v in a graph G is the number of its second neighbors, that is the number of vertices in G having distance 2 to v. In this manuscript we have computed the Forgotten eccentricity connectivity topological index G is defined as, F\xi^{c}(G)= \sum_{v\in V(G)}d^{3}(v).e(v) and F\xi^{c}(G)= \sum_{v\in V(G)}d_{2}^{3}(v).e(v), where d^{3}(v) and d_{2}^{3}(v) are the degree of the vertices u and v and e(v) is a eccentricity of the vertices u and v. In this paper the Forgotten eccentricity connectivity topological index of pseudo-regular graphs are determined.