An Efficient Technique to Construct Certain Counting Polynomials and Related Topological Indices for 2D-Planar Graphs

Abstract

G. Polya laid the foundation of counting polynomials in chemical graph theory. These polynomials can be associated with various graphs to signify their properties. In this study, a new concept has been introduced to construct the counting polynomials such as, Sadhana Theta and PI polynomials in terms of omega polynomial. A star expression has been established in order to transform equidistant into non equidistant edges. Furthermore, new relations have also been evolved to calculate Theta, PI and Sadhana Indices through Omega polynomial.

Keywords:

• Edges
• quasi orthogonal cut
• ring type benzenoid graph
• strips

2010 AMS CLASSIFICATION:

• 05C75

Disclosure statement

No potential conflict of interest was reported by the authors.