On the SD- polynomial and SD- index of an infinite class of “Armchair Polyhex Nanotubes”

Farahani, M. Z.

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Tytuł artykułu

On the SD- polynomial and SD- index of an infinite class of “Armchair Polyhex Nanotubes”

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Farahani M. Z.

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Abstrakty

Let G be a simple connected graph with the vertex set V = V(G) and the edge set E = E(G),without loops and multiple edges. For counting qoc strips in G, Diudea introduced the Ω-polynomial of G and was defined as Ω(G, x) = Σ^k_i=1_X^c, where C₁₁, C₂..., C_k be the “opposite edge strips” ops of G and c_i = |C_i| (I = 1, 2,..., k). One can obtain the Sd-polynomial by replacing x^c with x^E(G)-c in Ω-polynomial. Then the Sd-index will be the first derivative of Sd(x) evaluated at x = 1. In this paper we compute the Sd-polynomial and Sd-index of an infinite class of “Armchair Polyhex Nanotubes”.

Słowa kluczowe

Omega and Sadhana polynomial Sadhana index Armchair Polyhex Nanotubes and Nanotori

Wydawca

Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"

Czasopismo

International Letters of Chemistry, Physics and Astronomy

Rocznik

2014

Tom

Vol. 12

Strony

63--68

Opis fizyczny

Bibliogr. 37 poz., rys., wz.

Twórcy

autor

Farahani M. Z.

Mr_Farahani@Mathdep.iust.ac.ir

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

Bibliografia

[1] P.E. John, A.E. Vizitiu, S. Cigher, and M.V. Diudea, MATCH Commun. Math. Comput. Chem. 57 (2007) 479-484.
[2] M.V. Diudea, S. Cigher and P.E. John. Omega and Related Counting Polynomials. MATCH Commun. Math. Comput. Chem, 60 (2008) 237-250.
[3] M.V. Diudea, S. Cigher, and P.E. John, MATCH Commun. Math. Comput. Chem. 60 (2008) 237-250.
[4] M.V. Diudea, I. Gutman, L. Jäntschi, Molecular Topology, NOVA, New York, 2002.
[5] M.V. Diudea, Carpath. J. Math. 22 (2006) 43-47.
[6] M.V. Diudea, S. Cigher, A.E. Vizitiu, O. Ursu, P.E. John, Croat. Chem. Acta 79(3) (2006) 445-448.
[7] P.E. John, A.E. Vizitiu, S. Cigher, M.V. Diudea, MATCH Commun. Math. Comput. Chem. 57 (2007) 479.
[8] A.E. Vizitiu, S. Cigher, M.V. Diudea, M. S. Florescu, MATCH Commun. Math. Comput. Chem. 57(2) (2007) 479-484.
[9] A.R. Ashrafi, M. Jalali, M. Ghorbani, M.V. Diudea. MATCH, Commun. Math. Comput. Chem. 60 (2008) 905-916.
[10] M.V. Diudea, A. Ilić, Carpath. J. Math. 20(1) (2009) 177-185.
[11] M.V. Diudea, MATCH Commun. Math. Comput. Chem. 64 (2010) 569.
[12] A.R. Ashrafi, M. Ghorbani, M. Jalali, Int. J. Chem. 47A(4) (2008) 535-537.
[13] P.V. Khadikar, S. Joshi, A.V. Bajaj, D. Mandloi, Med. Chem. Lett. 14 (2004) 1187-1191.
[14] P.V. Khadikar, V.K. Agrawal, S. Karmarkar. Bioorg. Med. Chem. 2(10) (2002) 3499-3507.
[15] P.V. Khadikar, D. Mandoli, Bioinformatics Trends 1 (2006) 51-63.
[16] Khadikar, S. Singh, M. Jaiswal, D. Mandoli, Bioorg. Med. Chem. Lett. 14 (2004) 4795-4801.
[17] P.V. Khadikar, J. Singh, M. Ingle, J. Math. Chem. 42 (2007) 433-446.
[18] H. Mesgarani, M. Ghorbani, Adv. Mater. Rapid Commun. 4(11) (2010) 1863-1865.
[19] S. Iijima, Nature 354 (1991) 56.
[20] D. S. Bethune, C. H. Kiang, M. S. Devries, G. Gorman, R. Savoy, J. Vazquez, A. Beyers, IBID 363 (1993) 605.
[21] F. Harary, Graph Theory, Addison-Wesley, Reading, MA, (1969).
[22] B. West, Introduction to graph theory. Prentice Hall of India, (2003).
[23] N. Trinajstić, Chemical Graph Theory, (second ed.) CRC Press, Boca Raton, FL, (1992).
[24] R. Todeschini, V. Consonni, Handbook of Molecular Descriptors, Weinheim, Wiley-VCH, (2000).
[25] N. Trinajstić, I. Gutman, Croat. Chem. Acta 75 (2002) 329-356.
[26] I. Gutman, S. Klavžar, ACH Models Chem 133 (1996) 389-399.
[27] M.V. Diudea, MATCH, Commun. Math. Comput. Chem. 45 (2002) 109-122.
[28] A.R. Ashrafi, G. R. Vakili-Nezhaad, Journal of Physics: Conference Series 29 (2006) 181-184.
[29] S. Yousefi, H. Yousefi-Azari, A.R. Ashrafi, M. H. Khalifeh, JUST 33(3) (2008) 7-11.
[30] A. Iranmanesh, Y. Alizadeh, Digest. J. Nanomater. Bios 4 (2009) 607-611.
[31] H. Shabani, A.R. Ashrafi, Digest. J. Nanomater. Bios 4 (2009) 423-428.
[32] S. Alikhani, M.A. Iranmanesh, Digest. J. Nanomater. Bios 5 (2010) 1-7.
[33] M.R. Farahani, Romanian Academy Series B Chemistry 15(1) (2013) 3-6.
[34] M.R. Farahani, Journal of Advances in Physics 3(1) (2013) 191-196.
[35] M.R. Farahani, Acta Chim. Slov. 59 (2012) 779-783.
[36] M.R. Farahani. Computing GA5 Index of Armchair Polyhex Nanotube, Le Matematiche. In press (2014).
[37] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 11(1) (2014) 74-80.

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