On Degree Based Topological Indices of Transition Metal-Tetra Cyano Polycyclic Benzene Organic Network

References

• K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigonrieva, and A. A. Firsov, “Electric Field Effect in Atomically Thin Carbon Films,” Science (New York, N.Y.) 306, no. 5696 (2004): 666–76.
   PubMed Web of Science ®Google Scholar
• K. S. Novoselov, D. Jiang, F. Schedin, T. J. Booth, V. V. Khotkevich, S. V. Morozov, and A. K. Geim, “Two-Dimensional Atomic Crystals,” Proceedings of the National Academy of Sciences of the United States of America. 102, (2005): 104–1141.
   Web of Science ®Google Scholar
• M. Mabrouk, R. Hayn, H. Denawi, and R. B. Chaabane, “Possibility of a Ferromagnetic and Conducting Metal-Organic Network,” Journal of Magnetism and Magnetic Materials 453, (2018): 48–52.
   Web of Science ®Google Scholar
• S. M. Kang, M. K. Siddiqui, N. A. Rehman, M. Imran, and M. H. Muhammad, “Laplacian Spectra for Categorical Product Networks and Its Applications,” Symmetry 10, no. 6 (2018): 206–10.
   Google Scholar
• S. M. Kang, M. K. Siddiqui, N. A. Rehman, M. Naeem, and M. H. Muhammad, “Topological Properties of 2-Dimensional Silicon-Carbons,” IEEE Access 6, no. 1 (2018): 59362–73.
   Google Scholar
• Z. Raza, “The Expected Values of Arithmetic Bond Connectivity and Geometric Indices in Random Phenylene Chains,” Heliyon 6, no. 7 (2020): e04479–59.
   PubMed Web of Science ®Google Scholar
• Z. Raza, and M. E. K. Sukaiti, “M-Polynomial and Degree Based Topological Indices of Some Nanostructures,” Symmetry 12, no. 5 (2020): 831–16.
   Google Scholar
• M. K. Siddiqui, M. Imran, and A. Ahmad, “On Zagreb Indices, Zagreb Polynomials of Some Nanostar Dendrimers,” Journal of Applied Mathematics and Computing 280, (2016): 132–9.
   Web of Science ®Google Scholar
• M. K. Siddiqui, M. Naeem, N. A. Rahman, and M. Imran, “Computing Topological Indices of Certain Networks,” Journal of Optoelectronics and Advanced Materials 18, no. 9–10 (2016): 884–92.
   Web of Science ®Google Scholar
• J.-B. Liu, and X.-F. Pan, “Minimizing Kirchhoffindex among Graphs with a Given Vertex Bipartiteness,” Applied Mathematics and Computation 291, (2016): 84–8.
   Web of Science ®Google Scholar
• T. Vetrik, “Polynomials of Degree-Based Topological Indices for Hexagonal Nanotubes,” UPB Scientific Bulletin, Series B 81, no. 1 (2019): 109–20.
   Web of Science ®Google Scholar
• S. Prabhu, G. Murugan, M. Cary, M. Arulperumjothi, and J. B. Liu, “On Certain Distance and Degree Based Topological Indices of Zeolite LTA Frameworks,” Materials Research Express 7, no. 5 (2020): 055006–66.
   Web of Science ®Google Scholar
• S. Prabhu, G. Murugan, M. Arockiaraj, M. Arulperumjothi, and V. Manimozhi, “Molecular Topological Characterization of Three Classes of Polycyclic Aromatic Hydrocarbons,” Journal of Molecular Structure 12, (2020): 95–111.
   Google Scholar
• S. Prabhu, M. Arulperumjothi, G. Murugan, V. M. Dhinesh, and J. P. Kumar, “On Certain Counting Polynomial of Titanium Dioxide Nanotubes,” Nanoscience &Nanotechnology-Asia 9, no. 2 (2019): 240–3.
   Google Scholar
• K. Julietraja, and P. Venugopal, “Computation of Degree-Based Topological Descriptors Using M-Polynomial for Coronoid Systems,” Polycyclic Aromatic Compounds 2, (2020): 1–24.
   Web of Science ®Google Scholar
• M. Arockiaraj, J. B. Liu, M. Arulperumjothi, and S. Prabhu, “On Certain Topological Indices of Three-Layered Single-Walled Titania Nanosheets,” Combinatorial Chemistry & High Throughput Screening 23, (2020): 1–19.
   Google Scholar
• S. Prabhu, M. Arulperumjothi, and G. Murugan, “On Certain Topological Indices of Titanium Dioxide Nanosheet and Nanotube,” Nanoscience &Nanotechnology-Asia 8, no. 2 (2018): 309–16.
   Google Scholar
• Z. Shao, M. K. Siddiqui, and M. H. Muhammad, “Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes,” Symmetry 10, no. 7 (2018): 244.
   Google Scholar
• W. Gao, H. Wu, M. K. Siddiqui, and A. Q. Baig, “Study of Biological Networks Using Graph Theory,” Saudi Journal of Biological Sciences 25, no. 6 (2018): 1212–9.
   PubMed Web of Science ®Google Scholar
• W. Gao, M. K. Siddiqui, M. Naeem, and N. A. Rehman, “Topological Characterization of Carbon Graphite and Crystal Cubic Carbon Structures,” Molecules 22, no. 9 (2017): 1496–515.
   PubMed Web of Science ®Google Scholar
• M. Randić, “On Characterization of Molecular Branching,” Journal of the American Chemical Society 97, no. 23 (1975): 6609–15.
   Web of Science ®Google Scholar
• B. Bollobás, and P. Erdös, “Graphs of Extremal Weights,” Ars Combinatoria 50, (1998): 225–33.
   Web of Science ®Google Scholar
• D. Amic, D. Beslo, B. Lucic, S. Nikolic, and N. Trinajstić, “The Vertex-Connectivity Index Revisited,” Journal of Chemical Information and Computer Sciences 38, no. 5 (1998): 819–22.
   Google Scholar
• G. Caporossi, I. Gutman, P. Hansen, and L. Pavlovíc, “Graphs with Maximum Connectivity Index,” Computational Biology and Chemistry 27, no. 1 (2003): 85–90.
   Web of Science ®Google Scholar
• Li, X.; Gutman, I.; Mathematical Aspects of Randic-Type Molecular Structure Descriptors, Mathematical Chemistry Monographs No. 1, Kragujevac, 2006, pp, Topological Properties of Face-Centred Cubic Lattice 13 (2006): 45–55.
   Google Scholar
• E. Estrada, L. Torres, L. Rodríguez, and I. Gutman, “An Atom-Bond Connectivity Inde. Modelling the Enthalpy of Formation of Alkanes,” Indian Journal of Chemistry 37A, (1998): 849–55.
   Google Scholar
• D. Vukičevič, and B. Furtula, “Topological Index Based on the Ratios of Geometrical and Arithmetical Means of End-Vertex Degrees of Edges,” Journal of Mathematical Chemistry 46, no. 4 (2009): 1369–76.
   Web of Science ®Google Scholar
• I. Gutman, and N. Trinajstić, “Graph Theory and Molecular Orbitals., Total π-Electron Energy of Alternant Hydrocarbons,” Chemical Physics Letters 17, no. 4 (1972): 535–8.
   Web of Science ®Google Scholar
• I. Gutman, and K. C. Das, “The First Zagreb Index 30 Years after,” Communications in Mathematical and in Computer Chemistry 50, (2004): 83–92.
   Google Scholar
• T. Došlić, “Vertex-Weighted Wiener Polynomials for Composite Graphs,” Ars Mathematica Contemporanea 1, no. 1 (2008): 66–80.
   Web of Science ®Google Scholar
• I. Gutman, B. Furtula, Ž. K. Vukićević, G. Popivoda, and On. Zagreb Indices and Coindices, “MATCH Commun,” Mathematical and in Computer Chemistry 74, (2015): 5–16.
   Web of Science ®Google Scholar
• G. H. Shirdel, H. RezaPour, and A. M. Sayadi, “The Hyper-Zagreb Index of Graph Operations,” Iranian Journal of Mathematical Chemistry 4, no. 2 (2013): 213–20.
   Google Scholar
• M. Ghorbani, and N. Azimi, “Note on Multiple Zagreb Indices,” Iranian Journal of Mathematical Chemistry 3, no. 2 (2012): 137–43.
   Google Scholar
• B. Furtula, and I. Gutman, “A Forgotten Topological Index,” Journal of Mathematical Chemistry 53, no. 4 (2015): 1184–90.
   Web of Science ®Google Scholar
• B. Furtula, A. Graovac, and D. Vukicevic, “Augmented Zagreb Index,” Journal of Mathematical Chemistry 48, no. 2 (2010): 370–80.
   Web of Science ®Google Scholar
• A. T. Balaban, “Highly Discriminating Distance-Based Topological Index,” Chemical Physics Letters. 89, no. 5 (1982): 399–404.
   Web of Science ®Google Scholar
• A. T. Balaban, and L. V. Quintas, “The Smallest Graphs, Trees, and 4-Trees with Degenerate Topological Index,” Journal of Mathematical Chemistry. 14, (1983): 213–33.
   Google Scholar
• P. S. Ranjini, V. Lokesha, and A. Usha, “Relation between Phenylene and Hexagonal Squeez Using Harmonic Index,” International Journal of Applied Graph Theory 1, (2013): 116–21.
   Google Scholar
• M. Nadeem, S. Ahmad, M. K. Siddiqui, and M. Naeem, “Topological Descriptor of 2-Dimensional Silicon Carbons and Their Applications,” Open Chemistry 17, no. 1 (2019): 1473–82.
   Web of Science ®Google Scholar
• M. Imran, M. K. Siddiqui, A. Q. Baig, W. Khalid, and H. Shaker, “Topological Properties of Cellular Neural Networks,” Journal of Intelligent & Fuzzy Systems 37, no. 3 (2019): 3605–14.
   Web of Science ®Google Scholar
• M. K. Siddiqui, M. Imran, and M. Saeed, “Topological Properties of Face-Centred Cubic Lattice,” Hacettepe Journal of Mathematics and Statistics 49, no. 1 (2019): 1–207.
   Web of Science ®Google Scholar
• H. Yang, M. Imran, S. Akhter, Z. Iqbal, and M. K. Siddiqui, “On Distance-Based Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs,” IEEE Access 7, no. 1 (2019): 143381–91.
   Google Scholar
• Z. Shao, J. Amjadi, S. M. Sheikholeslami, and M. Valinavaz, “On the Total Double Roman Domination,” IEEE Access 7, (2019): 52035–41.
   Web of Science ®Google Scholar
• Z. Shao, M. Liang, and X. Xu, “Some New Optimal Generalized Sidon Sequences,” Ars Comb 107, (2012): 369–78.
   Web of Science ®Google Scholar
• Z. Shao, P. Wu, X. Zhang, D. Dimitrov, and J. B. Liu, “On the Maximum ABC Index of Graphs with Prescribed Size and without Pendent Vertices,” IEEE Access 6, (2018): 27604–16.
   Web of Science ®Google Scholar
• Z. Shao, P. Wu, Y. Gao, I. Gutman, and X. Zhang, “On the Maximum ABC Index of Graphs without Pendent Vertices,” Applied Mathematics and Computation 315, (2017): 298–312.
   Web of Science ®Google Scholar
• S. Wang, Z. Shao, J. B. Liu, and B. Wei, “The Bounds of Vertex PadmakarIvan Index on k-Trees,” Mathematics 7, no. 4 (2019): 324–34.
   Web of Science ®Google Scholar
• Y. Gao, E. Zhu, Z. Shao, I. Gutman, and A. Klobučar, “Total Domination and Open Packing in Some Chemical Graphs,” Journal of Mathematical Chemistry 56, no. 5 (2018): 1481–92.
   Web of Science ®Google Scholar