Π(G,x) polynomial and (G) index of Armchair Polyhex Nanotubes TUAC₆ [m,n]

• Autorzy: Farahani M. R.
• Języki publikacji: EN

Abstrakty

EN

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, Omega polynomial was introduced by Diudea and was defined as Ω(G,x ) = [wzór] where m(G,c) be the number of qoc strips of length c in the graph G. Following Omega polynomial, the Sadhana polynomial was defined by Ashrafi et al as Sd(G,x) = [wzór]. In this paper we compute the Pi polynomial Π(G,x) =[wzór] and Pi index Π(G ) = [wzór] of an infinite class of “Armchair Polyhex Nanotubes TUAC ₆ [m,n]”.

Słowa kluczowe

EN

Molecular Graph; Armchair Polyhex Nanotubes and Nanotori; Omega polynomial; Pi polynomial; Pi index

• Wydawca: Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"
• Czasopismo: International Letters of Chemistry, Physics and Astronomy
• Rocznik: 2014
• Tom: Vol. 17, iss. 2
• Strony: 201--206
• Opis fizyczny: Bibliogr. 36 poz., wz.

Twórcy

autor

Farahani M. R.

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

Bibliografia

• [1] M.V. Diudea, Carpath. J. Math. 22 (2006) 43--47.
• [2] M.V. Diudea, S. Cigher, A.E. Vizitiu, O. Ursu, P.E. John. Croat. Chem. Acta 79(3), (2006) 445-448.
• [3] P.E. John, A.E. Vizitiu, S. Cigher, M.V. Diudea, MATCH Commun. Math. Comput. Chem. 57 (2007) 479-484.
• [4] M.V. Diudea, S. Cigher, P.E. John. MATCH Commun. Math. Comput. Chem. 60 (2008) 237-250.
• [5] M.V. Diudea, S. Cigher, P.E. John, MATCH Commun. Math. Comput. Chem. 60 (2008) 237-250.
• [6] M.V. Diudea, I. Gutman, L. Jäntschi, Molecular Topology, NOVA, New York, 2002.
• [7] A.E. Vizitiu, S. Cigher, M.V. Diudea, M.S. Florescu, MATCH Commun. Math. Comput. Chem. 57(2) (2007) 479-484.
• [8] M.V. Diudea, A. Ilić, Carpath. J. Math. 20(1) (2009) 177-185.
• [9] M.V. Diudea, MATCH Commun. Math. Comput. Chem. 2010, 64, 569.
• [10] A.R. Ashrafi, M. Jalali, M. Ghorbani, M.V. Diudea. MATCH, Commun. Math. Comput. Chem. 60 (2008), 905-916.
• [11] D.Ž. Djoković, J. Combin. Theory Ser. B 14 (1973) 263.
• [12] P.M. Winkler, Discrete Appl. Math. 8 (1984) 209.
• [13] S. Klavžar, MATCH Commun. Math. Comput. Chem. 59 (2008) 217.
• [14] A.R. Ashrafi, M. Ghorbani, M. Jalali, Int. J. Chem. 47A(4) (2008) 535-537.
• [15] P.V. Khadikar, S. Joshi, A. V. Bajaj, D. Mandloi, Med. Chem. Lett. 14 (2004) 1187-1191.
• [16] P.V. Khadikar, V. K. Agrawal, S. Karmarkar. Bioorg. Med. Chem. 2(10) (2002) 3499-3507.
• [17] P.V. Khadikar, D. Mandoli, Sadhana, Bioinformatics Trends 1 (2006) 51-63.
• [18] S. Iijima, Nature 354 (1001) 56.
• [19] D.S. Bethune, C.H. Kiang, M.S. Devries, G. Gorman, R. Savoy, J. Vazquez, A. Beyers, IBID 363 (1993) 605.
• [20] I. Gutman, S. Klavžar, ACH Models Chem. 133 (1996) 389-399.
• [21] M.V. Diudea, MATCH, Commun. Math. Comput. Chem. 45 (2002) 109-122.
• [22] A.R. Ashrafi, G. R. Vakili-Nezhaad, Journal of Physics: Conference Series 29 (2006) 181-184.
• [23] S. Yousefi, H. Yousefi-Azari, A.R. Ashrafi, M. H. Khalifeh, JSUT 33(3) (2008) 7-11.
• [24] A. Iranmanesh, Y. Alizadeh, Digest. J. Nanomater. Bios 4 (2009) 607-611.
• [25] H. Shabani, A.R. Ashrafi, Digest. J. Nanomater. Bios 4 (2009) 423-428.
• [26] S. Alikhani, M.A. Iranmanesh, Digest. J. Nanomater. Bios 5 (2010) 1-7.
• [27] M.R. Farahani. Proceedings of the Romanian Academy Series B Chemistry 15(1) (2013) 3-6.
• [28] M.R. Farahani, Journal of Advances in Physics 3(1) (2013) 191-196.
• [29] M.R. Farahani, Acta Chim. Slov. 59 (2012) 779-783.
• [30] M.R. Farahani, Le Matematiche 69(2) (2014).
• [31] N. Trinajstić, Chemical Graph Theory, (second ed.) CRC Press, Boca Raton, FL, (1992).
• [32] R. Todeschini and V. Consonni, Handbook of Molecular Descriptors, Weinheim, Wiley-VCH, (2000).
• [33] N. Trinajstić, I. Gutman, Croat. Chem. Acta 75 (2002) 329-356.
• [34] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 12 (2014) 56-62.
• [35] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 12 (2014) 63-68.
• [36] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 13(1) (2014) 71-76.