Computing Eccentricity Based Topological Indices of Octagonal Grid O-n(m)

Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with regard to anti-inflammatory activity, for a dataset consisting of 76 pyrazole carboxylic acid hydrazide analogs. The eccentricity # v of vertex v in a graph G is the distance between v and the vertex furthermost from v in a graph G. The distance between two vertices is the length of a shortest path between those vertices in a graph G. In this paper, we consider the Octagonal Grid Om n. We compute Connective Eccentric index C x ( G) = a v 2 V ( G) dv/ # v, Eccentric Connective Index x( G) = a v 2 V ( G) dv # v and eccentric Zagreb index of Octagonal Grid Om n, where dv represents the degree of the vertex v in G.