First and Second Zagreb polynomials of VC5C7[p,q] and HC5C7[p,q]nanotubes

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

Abstrakty

EN

Let G = (V,E) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V(G) and E = E(G), respectively. There exist many topological indices and connectivity indices in graph theory. The First and Second Zagreb indices were first introduced by Gutman and Trinajstić in 1972. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical instances, and in elsewhere. In this paper, we focus on the structure of ”G=VC₅C₇ [p,q]” and ”H = HC₅C₇[p,q]” nanotubes and counting First Zagreb index Zg₁(G)= ∑_v∈V(G)d²_v and Second Zagreb index Zg₂(G)= ∑_e=uv∈E(G)(d_ux d_v) of G and H, as well as First Zagreb polynomial Zg₁(G,x )= ∑_e=uv∈E(G)x^d_u^+d_v and Second Zagreb polynomial Zg₂(G,x) =_{∑e=uv∈E(G)}x^d_u^xd_v.

Słowa kluczowe

EN

nanotubes; molecular graph; Zagreb index; Zagreb Polynomial

• Wydawca: Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"
• Czasopismo: International Letters of Chemistry, Physics and Astronomy
• Rocznik: 2014
• Tom: Vol. 12
• Strony: 56--62
• Opis fizyczny: Bibliogr. 19 poz., wz.

Twórcy

autor

Farahani M. R.

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

Bibliografia

• [1] J. Asadpour, R. Mojarad, L. Safikhani, Digest Journal of Nanomaterials and Biostructures 6(3) (2011) 937-941.
• [2] A. R. Ashrafi, H. Saadi, M. Ghorbani, Digest Journal of Nanomaterials and Biostructures 3(4) (2008) 227-236.
• [3] A. R. Ashrafi, M. Ghorbani, Digest. J. Nanomater. Bios. 4(2) (2009) 389-393.
• [4] A. Dobrynin, R. Entringer, I. Gutman, Acta Appl. Math. 66 (2011) 211.
• [5] M. R. Farahani. Acta Chim. Slov. 58(4) (2012).
• [6] M. R. Farahani, Int. J. Nanoscience & Nanotechnology 8(3) (2012) 175-180.
• [7] M. R. Farahani, Advances in Materials and Corrosion 2 (2013) 16-19.
• [8] G. H. FathTabar, Digest. J. Nanomater. Bios. 4(1) (2009) 189-191.
• [9] I. Gutman, K. C. Das, MATCH Commun. Math. Comput. Chem. 50 (2004) 83-92.
• [10] H. Hosoya, Discrete Appl. Math. 19 (1988) 239-257.
• [11] A. Iranmanesh, Y. Alizadeh, B. Taherkhani. Int. J. Mol. Sci. 9 (2008) 131-144.
• [12] A. Iranmanesh, O. Khormali, J. Comput. Theor. Nanosci. (In press).
• [13] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 11(1) (2014) 74-80.
• [14] D. E. Needham, I. C. Wei, P. G. Seybold. J. Amer. Chem. Soc. 110 (1988) 4186.
• [15] G. Rucker, C. Rucker, J. Chem. Inf. Comput. Sci. 39 (1999) 788.
• [16] R. Todeschini, V. Consonni. Handbook of Molecular Descriptors. Wiley, Weinheim. 2000.
• [17] N. Trinajstić. Chemical Graph Theory. CRC Press, Boca Raton, FL. (1992).
• [18] H. Wiener, J. Amer. Chem. Soc. 69(17) (1947) 17-20.
• [19] B. Zhou, I. Gutman, Chemical Physics Letters 394 (2004) 93-95.