International Journal of Computational and Theoretical Chemistry

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Sadhana Polynomial and its Index of Hexagonal System Ba,b

Received: 06 June 2013    Accepted:     Published: 10 September 2013
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Abstract

Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation. The Sadhana polynomial Sd(G,x), for counting qoc strips in G was defined by Ashrafi and co-authors as Sd(G,x)= cm(G,c)xE(G)-C where m(G,c), being the number of qoc strips of length c. This polynomial is most important in some physico chemical structures of molecules. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system.

DOI 10.11648/j.ijctc.20130102.11
Published in International Journal of Computational and Theoretical Chemistry (Volume 1, Issue 2, September 2013)
Page(s) 7-10
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

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Copyright © The Author(s), 2024. Published by Science Publishing Group

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Keywords

Molecular Graph, Omega Polynomial, Sadhana Polynomial, Benzenoid, Qoc Strip, Cut Method, Orthogonal Cut

References
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Author Information
  • Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran

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    Mohammad Reza Farahani. (2013). Sadhana Polynomial and its Index of Hexagonal System Ba,b. International Journal of Computational and Theoretical Chemistry, 1(2), 7-10. https://doi.org/10.11648/j.ijctc.20130102.11

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    Mohammad Reza Farahani. Sadhana Polynomial and its Index of Hexagonal System Ba,b. Int. J. Comput. Theor. Chem. 2013, 1(2), 7-10. doi: 10.11648/j.ijctc.20130102.11

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    AMA Style

    Mohammad Reza Farahani. Sadhana Polynomial and its Index of Hexagonal System Ba,b. Int J Comput Theor Chem. 2013;1(2):7-10. doi: 10.11648/j.ijctc.20130102.11

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  • @article{10.11648/j.ijctc.20130102.11,
      author = {Mohammad Reza Farahani},
      title = {Sadhana Polynomial and its Index of Hexagonal System Ba,b},
      journal = {International Journal of Computational and Theoretical Chemistry},
      volume = {1},
      number = {2},
      pages = {7-10},
      doi = {10.11648/j.ijctc.20130102.11},
      url = {https://doi.org/10.11648/j.ijctc.20130102.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijctc.20130102.11},
      abstract = {Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation. The Sadhana polynomial Sd(G,x), for counting qoc strips in G was defined by Ashrafi and co-authors as  Sd(G,x)= cm(G,c)xE(G)-C where m(G,c), being the number of qoc strips of length c. This polynomial is most important in some physico chemical structures of molecules. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system.},
     year = {2013}
    }
    

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    JO  - International Journal of Computational and Theoretical Chemistry
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    AB  - Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation. The Sadhana polynomial Sd(G,x), for counting qoc strips in G was defined by Ashrafi and co-authors as  Sd(G,x)= cm(G,c)xE(G)-C where m(G,c), being the number of qoc strips of length c. This polynomial is most important in some physico chemical structures of molecules. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system.
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    IS  - 2
    ER  - 

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