Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain

Counting polynomials are important graph invariants whose coefficients and exponents are related to different properties of chemical graphs. Three closely related polynomials, i.e., Omega, Sadhana, and PI polynomials, dependent upon the equidistant edges and nonequidistant edges of graphs, are studi...

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Detalles Bibliográficos
Autores principales: Idrees, Nazeran, Saif, Muhammad Jawwad, Nasir, Sumiya, Farooq, Fozia Bashir, Rauf, Asia, Ashfaq, Fareeha
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2020
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7136778/
https://www.ncbi.nlm.nih.gov/pubmed/32309011
http://dx.doi.org/10.1155/2020/9057815
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author Idrees, Nazeran
Saif, Muhammad Jawwad
Nasir, Sumiya
Farooq, Fozia Bashir
Rauf, Asia
Ashfaq, Fareeha
author_facet Idrees, Nazeran
Saif, Muhammad Jawwad
Nasir, Sumiya
Farooq, Fozia Bashir
Rauf, Asia
Ashfaq, Fareeha
author_sort Idrees, Nazeran
collection PubMed
description Counting polynomials are important graph invariants whose coefficients and exponents are related to different properties of chemical graphs. Three closely related polynomials, i.e., Omega, Sadhana, and PI polynomials, dependent upon the equidistant edges and nonequidistant edges of graphs, are studied for quasi-hexagonal benzenoid chains. Analytical closed expressions for these polynomials are derived. Moreover, relation between Padmakar–Ivan (PI) index of quasi-hexagonal chain and that of corresponding linear chain is also established.
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spelling pubmed-71367782020-04-17 Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain Idrees, Nazeran Saif, Muhammad Jawwad Nasir, Sumiya Farooq, Fozia Bashir Rauf, Asia Ashfaq, Fareeha J Anal Methods Chem Research Article Counting polynomials are important graph invariants whose coefficients and exponents are related to different properties of chemical graphs. Three closely related polynomials, i.e., Omega, Sadhana, and PI polynomials, dependent upon the equidistant edges and nonequidistant edges of graphs, are studied for quasi-hexagonal benzenoid chains. Analytical closed expressions for these polynomials are derived. Moreover, relation between Padmakar–Ivan (PI) index of quasi-hexagonal chain and that of corresponding linear chain is also established. Hindawi 2020-03-26 /pmc/articles/PMC7136778/ /pubmed/32309011 http://dx.doi.org/10.1155/2020/9057815 Text en Copyright © 2020 Nazeran Idrees et al. http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Idrees, Nazeran
Saif, Muhammad Jawwad
Nasir, Sumiya
Farooq, Fozia Bashir
Rauf, Asia
Ashfaq, Fareeha
Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
title Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
title_full Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
title_fullStr Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
title_full_unstemmed Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
title_short Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
title_sort omega, sadhana, and pi polynomials of quasi-hexagonal benzenoid chain
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7136778/
https://www.ncbi.nlm.nih.gov/pubmed/32309011
http://dx.doi.org/10.1155/2020/9057815
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