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Counting Polynomials of Benzenoid Systems

Research Area: volume 3 Issue 1 Year: 2015
Type of Publication: Article Keywords: Molecular graph; Benzenoid system, qoc strip, Omega polynomial, Sadhana polynomial, Theta polynomial, Pi polynomial
Authors:
  • Mohammad Reza Farahani
Journal: IJNIST Volume: 3
Number: 1 Pages: 14-19
Month: Jan-June
ISSN: 2321-0468
Abstract:
The Omega polynomial Ω(G,x) for counting qoc strips in G is defined as Ω(G,x)= ( , )xc c m G c with m(G,c) being the number of strips of length c. Other three related polynomials can be calculated on ops as (G,x)= ( , ) .x , c c m G c c SD(G,x)= ( ) ( , )xE G c cm G c   and (G,x)= ( ) ( , ) .x . E G c cm G c c   Omega Ω(G,x), Sadhana Sd(G,x), Thete Θ(G,x) and Pi Π(G,x) polynomials most important in some physic-chemical structures of molecules. In this paper, these above polynomials and their indices of a class of Benzenoid system are determined.
Full text: 3107.pdf

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