Sadhana Polynomial and its Index of Hexagonal System Ba,b

Mohammad Reza Farahani

doi:doi:10.11648/j.ijctc.20130102.11

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Sadhana Polynomial and its Index of Hexagonal System Ba,b

Mohammad Reza Farahani

Published in International Journal of Computational and Theoretical Chemistry (Volume 1, Issue 2)

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
Creative Commons	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.
Copyright	Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

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

References

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APA Style

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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TY  - JOUR
T1  - Sadhana Polynomial and its Index of Hexagonal System Ba,b
AU  - Mohammad Reza Farahani
Y1  - 2013/09/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ijctc.20130102.11
DO  - 10.11648/j.ijctc.20130102.11
T2  - International Journal of Computational and Theoretical Chemistry
JF  - International Journal of Computational and Theoretical Chemistry
JO  - International Journal of Computational and Theoretical Chemistry
SP  - 7
EP  - 10
PB  - Science Publishing Group
SN  - 2376-7308
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

Mohammad Reza Farahani

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

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APA Style

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Sadhana Polynomial and its Index of Hexagonal System Ba,b
AU  - Mohammad Reza Farahani
Y1  - 2013/09/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ijctc.20130102.11
DO  - 10.11648/j.ijctc.20130102.11
T2  - International Journal of Computational and Theoretical Chemistry
JF  - International Journal of Computational and Theoretical Chemistry
JO  - International Journal of Computational and Theoretical Chemistry
SP  - 7
EP  - 10
PB  - Science Publishing Group
SN  - 2376-7308
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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