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Sadhana Polynomial and its Index of Hexagonal System Ba,b

Received: 6 June 2013     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.

Published in International Journal of Computational and Theoretical Chemistry (Volume 1, Issue 2)
DOI 10.11648/j.ijctc.20130102.11
Page(s) 7-10
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Copyright

Copyright © The Author(s), 2013. 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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    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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    ACS 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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    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://article.sciencepublishinggroup.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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    T1  - Sadhana Polynomial and its Index of Hexagonal System Ba,b
    AU  - Mohammad Reza Farahani
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    T2  - International Journal of Computational and Theoretical Chemistry
    JF  - International Journal of Computational and Theoretical Chemistry
    JO  - International Journal of Computational and Theoretical Chemistry
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    UR  - https://doi.org/10.11648/j.ijctc.20130102.11
    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.
    VL  - 1
    IS  - 2
    ER  - 

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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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