Hosoya Polynomials Of Some Semiconducotors

Authors

  • Azeez Lafta Jabir University of Kufa
  • AbdulJalil M. Khalaf University of Kufa
  • Emad A. Jaffar AL-Mulla University of Kufa

DOI:

https://doi.org/10.31642/JoKMC/2018/020208

Keywords:

Hosoya polynomial , graph

Abstract

The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperWiener index. In this paper we compute the Hosoya polynomial of some semiconducotors [Caesium Chloride, Perovskite structure, Zinc blende structure, Rock-salt(Nacl)structure, Wurtzite structure, Chalcopyrite structure], Wiener index and hyper-Wiener index for then.The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperWiener index. In this paper we compute the Hosoya polynomial of some semiconducotors [Caesium Chloride, Perovskite structure, Zinc blende structure, Rock-salt(Nacl)structure, Wurtzite structure, Chalcopyrite structure], Wiener index and hyper-Wiener index for then.

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References

E. Estrada, O. Ivanciuc, I. Gutman, A. Gutierrez, L. Rodriguez, "Extended Wiener indices. A new set of descriptors for quantitative structure property studies", New J. Chem. 22, 819-822, 1998. DOI: https://doi.org/10.1039/a709255e

A. Giahtazed, N. Sair, L. Jadidolslam and A. Iranmanesh, "Hosoyo Polynomails of TUC4C8(R) Nanotours", Srtt University, Tehran, Iran, 2010.

M. Grundmann ,"The Physics of semiconducotors", Springer-Verlag Berlin Heidelberg , 2006.

I. Gutman, S. Klavţar, M. Petkovšek, P. Ţigert," On Hosoya polynomials of benzenoid graphs", Match Commun. Math. Chem. 43, 49- 66, 2001.

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Published

2014-12-01

How to Cite

Jabir, A. L., Khalaf, A. M., & AL-Mulla, E. A. J. (2014). Hosoya Polynomials Of Some Semiconducotors. Journal of Kufa for Mathematics and Computer, 2(2), 49–55. https://doi.org/10.31642/JoKMC/2018/020208

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