Abstract

The Padmakar – Ivan (PI) index of a graph G is defined as PI(G) = Σ[mu(e)+ mv(e)], where mu(e) is the number of edges of G lying closer to u than to v, mv(e) is the number of edges of G lying closer to v than to u and summation goes over all edges of G. The edge Szeged index is a new molecular structure descriptor equal to the sum of products mu(e)mv(e) over all edges e = uv of the molecular graph G. In this paper, the PI and edge Szeged indices of one – heptagonal carbon nanocone CNC7[n] computed for the first time.

Keywords: One pentagonal carbon nanocone, PI index, edge Szeged index