Sadhana Polynomial and its Index of Hexagonal System Ba,b

Abstract

Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation. The Sadhana polynomial Sd(G,x), for counting qoc strips in G was defined by Ashrafi and co-authors as Sd(G,x)= cm(G,c)xE(G)-C where m(G,c), being the number of qoc strips of length c. This polynomial is most important in some physico chemical structures of molecules. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system.