On the Cluj-Ilmenau index of a family of Benzenoid systems

References

• N. Trinajstić, Chemical Graph Theory, CRC Press, Boca Raton, FL, 1992.
   Google Scholar
• R. Todeschini and V. Consonni, Handbook of Molecular Descriptors, Wiley-VCH, Weinheim, 2000.
   Google Scholar
• H. Wiener, Structural Determination of Paraffin Boiling Points. J. Am. Chem. Soc. 1947. 69, 17-20. https://doi.org/10.1021/ja01193a005
   PubMed Web of Science ®Google Scholar
• P.E. John, A.E. Vizitiu, S. Cigher, M.V. Diudea, CI index in tubular nanostructures. MATCH Commun. Math. Comput. Chem. 2007, 57, 479-484.
   Web of Science ®Google Scholar
• M.V. Diudea, Cluj polynomials. Carpath. J. Math. 2006, 22, 43–47. lori.academicdirect.org
   Google Scholar
• M.V. Diudea, S. Cigher, A.E. Vizitiu, O. Ursu, P. E. John, Omega polynomial in tubular nanostructures. Croat. Chem. Acta, 2006, 79, 445.
   Web of Science ®Google Scholar
• A. E. Vizitiu, S. Cigher, M.V. Diudea, M.S. Florescu, Omega polynomial in ((4, 8) 3) tubular nanostructures. MATCH Commun. Math. Comput. Chem. 2007, 57, 457.
   Web of Science ®Google Scholar
• M.V. Diudea, S. Cigher, P.E. John, Omega and related counting polynomials. MATCH Commun. Math. Comput. Chem, 2008, 60, 237.
   Web of Science ®Google Scholar
• M.V. Diudea, S. Cigher, A.E. Vizitiu, M. S. Florescu, P. E. John, Omega polynomial and its use in nanostructure description. J. Math. Chem. 2009, 45, 316. doi.org/10.1007/s10910-008-9408-1
   Web of Science ®Google Scholar
• M. Saheli, M. Neamati, A. Ilić, M.V. Diudea, Omega polynomial in a combined coronene-sumanene covering. Croat. Chem. Acta. 2010, 83(4), 395.
   Web of Science ®Google Scholar
• M.V. Diudea, Counting polynomials and related indices by edge cutting procedures. MATCH Commun. Math. Comput. Chem. 2010, 64, 569.
   Google Scholar
• A. Bahrani and J. Yazdani. Omega and Sadhana polynomials of Hnaphtalenic nanotubes and Nanotori. Digest. J. Nanomater. Bios. 2008 3(4), 309-314.
   Google Scholar
• A.R. Ashrafi, M. Ghorbani, M. Jalili. Digest. J. Nanomater. Bios. 2009 4(3), 403.
   Web of Science ®Google Scholar
• M.R. Farahani. Computing Omega and Sadhana Polynomials of Hexagonal Trapezoid System Tb, a. New Front. Chem. (AWUT), 2015, 24(1), 61-67.
   Google Scholar
• M.R. Farahani. Omega and related counting polynomials of Triangular Benzenoid Gn and linear hexagonal chain LHn. Journal of Chemica Acta. 2(1), 43-45, (2013). doi: 10.11648/j.ijctc.20130102.11
   Google Scholar
• M.R. Farahani. Computing the Omega and Theta Polynomials and their indices of an Armchair Polyhex Nanotubes. Journal of Applied Physical Science International. 4(3), 2015, 160-164. https://www.ik-prress.org/index.php/JAPSI/article/view/3113
   Google Scholar
• M.R. Farahani, K. Kato, M.P. Vlad. Omega Polynomials and Cluj-Il-menau Index of Circumcoronene Series of Benzenoid, Studia Univ. Babes-Bolyai, Chemia. 2012 57(3), 177-182.
   Web of Science ®Google Scholar
• M.R. Farahani. Omega and Sadhana Polynomials of Circumcoronene Series of Benzenoid. World Appl. Sci. J. 2012 20(9), 1248-1251. DOI: 10.5829/idosi.wasj.2012.20.09.2616
   Google Scholar
• M.R. Farahani. Computing Θ(G, x) and Π(G, x) Polynomials of an Infinite Family of Benzenoid Acta Chim. Slov. 2012, 59, 965–968
   Google Scholar
• S. Ling-Ling, W. Zhi-Ning, Z. Li-Qiang, Rheological Properties of Cubic Liquid Crystals Formed from Monoglyceride/H2O Systems. Chin. J. Chem. 2005 23(3), 245. doi.org/10.1002/cjoc.200590245
   Web of Science ®Google Scholar
• Z. Bagheri, A. Mahmiani, O. Khormali. Edge-Szeged and vertex-PI-indices of Some Benzenoid Systems. Iran. J. Math. Sci. Inf. 2008 3(1), 31-39.
   Google Scholar
• M.R. Farahani, M.P. Vlad. Omega Polynomial and Omega Index of a Benzenoid System. Studia UBB, Chemia, 2014, 59(2), 71-78.
   Web of Science ®Google Scholar
• Y. Liu, M.N. Husin, M.R. Farahani, W. Nazeer, M. Imran. The Omega Polynomial and the Cluj-Ilmenau Index of an Infinite Class of the Titania Nanotubes TiO2(m, n). J. Comput. Theor. Nanosci. 2017, 14(7), 3429–3432. doi:10.1166/jctn.2017.66463429
   Google Scholar
• M.R.R. Kanna, R.P. Kumar, M.K. Jamil, M.R. Farahani. Omega and Cluj-Ilmenau Indices of Hydrocarbon Molecules Polycyclic Aromatic Hydrocarbons PAHk. Computational Chemistry, 4, 91-96. http://doi.org/10.4236/cc.2016.44009
   Google Scholar
• N.I. Alimon, N.H. Sarmin, A. Erfanian. Topological indices of non-commuting graph of dihedral groups. Malaysian Journal of Fundamental and Applied Sciences. Special Issue on Natural Sciences and Mathematics (2018) 473-476.
   Google Scholar
• N.I. Alimon, N.H. Sarmin, A. Erfanian. The Wiener and Zagreb indices of conjugacy class graph of the dihedral groups. MATEMATIKA. 35(1), (2019) 51-57.
   Web of Science ®Google Scholar
• Z. Shao, M.K. Siddiqui, M.H. Muhammad, Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes, Symmetry, (2018), doi:10.3390/sym10070244.
   Google Scholar
• Y. Gao, E. Zhu, Z. Shao, I. Gutman, A. Klobucar, Total domination and open packing in some chemical graphs, Journal of Mathematical Chemistry, 5, (2018), 1481-1492. DOI:10.1007/s10910-018-0877-6
   Google Scholar
• Z. Shao, P. Wu, X. Zhang, D. Dimitrov, J.B. Liu, On the maximum ABC index of graphs with prescribed size and without pendent vertices, IEEE Access, 6, (2018), 27604-27616. DOI: 10.1109/ACCESS.2018.2831910
   Web of Science ®Google Scholar
• Z. Shao, P. Wu, Y. Gao, I. Gutman, X. Zhang, On the maximum ABC index of graphs without pendent vertices, Applied Mathematics and Computation, 315, (2017), 298-312. DOI:10.1515/chem-2020-0002.
   Web of Science ®Google Scholar
• X. Zhang, H. Jiang, J.-B. Liu, Z. Shao. The Cartesian Product and Join Graphs on Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices, Molecules, 23, (2018), 1-15. DOI:10.3390/molecules23071731
   Web of Science ®Google Scholar
• H. Jiang, M.K. Jamil, M.K. Siddiqui, M.R. Farahani, Z. Shao. Edge-Vertex Szeged Index of Titania Nanotube TiO2 (m, n), m, n > 1. International Journal of Advanced Biotechnology and Research. 8(2), 2017, 1590-1597.
   Google Scholar
• S. Klavžar. A bird’s eye view of the cut method and a survey of its applications in chemical graph theory. MATCH Commun. Math. Comput. Chem. 2008, 60, 255
   Web of Science ®Google Scholar
• P.E. John, P.V. Khadikar, J. Singh. A method of computing the PI index of benzenoid hydrocarbons using orthogonal cuts. J. Math. Chem. 2007, 42(1), 27. doi.org/10.1007/s10910-006-9100-2
   Web of Science ®Google Scholar