Journal of Chemical and Pharmaceutical Research (ISSN : 0975-7384)

Reach Us +44 1625708989
All submissions of the EM system will be redirected to Online Manuscript Submission System. Authors are requested to submit articles directly to Online Manuscript Submission System of respective journal.

Original Articles: 2016 Vol: 8 Issue: 6

The Sadhana polynomial and the Sadhana index of polycyclic aromatic hydrocarbons PAHK


Let G be a simple molecular graph without directed and multiple edges and without loops, the vertex and edge-sets of which are represented by V(G) and E(G), respectively. The topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. The Omega polynomial Ω(G,x) for counting qoc strips in G is defined as Ω(G,x)= (G, )xc cΣ m c with m(G,c) being the number of strips of length c. Also, know that the Sadhana polynomial and the Sadhana Index are equal to Sd(G,x)= ( ) ( , )xE G c cΣ m G c - and Sd(G)= ( , )( ( ) ) cΣ m G c E G -c , respectively. The aim of this paper is to compute this counting polynomial and its index of an family of hydrocarbons that we named: Polycyclic Aromatic Hydrocarbons PAHk ("k≥1).