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Omega and related Polynomials of phenylenes and their hexagonal squeezes

RASOUL MOJARAD1, BEHROUZ DANESHIAN2, JAFAR ASADPOUR3,*

Affiliation

  1. Department of Mathematics, Boushehr Branch, Islamic Azad University, Boushehr, Iran
  2. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
  3. Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran

Abstract

Omega polynomial of a graph G is defined on the ground of "opposite edge strips" ops. The Sadhana, Theta and PI polynomial can also be calculated by ops counting. In this paper we compute these polynomials of phenylenes and of the corresponding hexagonal squeeze. Also an efficient formula for calculating the Sadhana index of phenylenes and their hexagonal squeeze is given..

Keywords

Omega, Sadhana, Theta, PI polynomial, Phenylene, Linear chain.

Citation

RASOUL MOJARAD, BEHROUZ DANESHIAN, JAFAR ASADPOUR, Omega and related Polynomials of phenylenes and their hexagonal squeezes, Optoelectronics and Advanced Materials - Rapid Communications, 10, 1-2, January-February 2016, pp.113-116 (2016).

Submitted at: Dec. 6, 2014

Accepted at: Feb. 10, 2016