Degree-Based Topological Descriptors of Hexaphenylbenzene Molecule Graphs

References

• M. Sourav, De Nilanjan, and P. Anita, “Neighborhood Degree Sum-Based Molecular Descriptors of Fractal and Cayley Tree Dendrimers,” European Physical Journal Plus 136, no. 303 (2021): 1–37.
   Google Scholar
• M. Alsharafi, M. Shubatah, and A. Alameri, “On the Hyper-Zagreb Coindex of Some Graphs,” Journal of Mathematics and Computer Science 10, no. 5 (2020): 1875–90.
   Google Scholar
• M. Alsharafi, M. Shubatah, and A. Alameri, “The Hyper-Zagreb Index of Some Complement Graphs,” Advances in Mathematics: Scientific Journal 9, no. 6 (2020): 3631–42.
   Google Scholar
• T. Réti, R. Sharafdini, A. Dregelyi-Kiss, and H. Haghbin, “Graph Irregularity Indices Used as Molecular Descriptor in QSPR Studies,” MATCH Communications in Mathematical and Computer Chemistry 79 (2018): 509–24.
   Web of Science ®Google Scholar
• M. Alsharafi and A. Alameri, “The F-Index and Coindex of V-Phenylenic Nanotubes and Nanotorus and Their Molecular Complement Graphs,” Nanosystems Physics Chemistry Mathematics 12, no. 3 (2021): 263–70.
   Google Scholar
• B. Furtula, I. Gutman, and M. Dehmer, “On Structure-Sensitivity of Degree-Based Topological Indices,” Journal of Applied Mathematics and Computing 219 (2013): 8973–78.
   Google Scholar
• A. Ayache, A. Alameri, M. Alsharafi, and H. Ahmed, “The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications,” Journal of Chemistry 2021 (2021): 8.
   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 (1972): 535–38.
   Web of Science ®Google Scholar
• M. Khalifeh, H. Yousefi-Azari, and A. R. Ashrafi, “The First and Second Zagreb Indices of Some Graph Operations,” Discrete Applied Mathematics 157, no. 4 (2009): 804–11.
   Web of Science ®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, I. Gutman, Z. K. Vukićević, G. Lekishvili, and G. Popivoda. “On an Old/New Degree-Based Topological Index,” Bulletin Classe des Sciences Mathematiques et Natturalles 40 (2015): 19–31.
   Google Scholar
• A. Alameri, N. Al-Naggar, M. Al-Rumaima, and M. Alsharafi, “Y-Index of Some Graph Operations,” International Journal of Applied Engineering Research (IJAER) 15, no. 2 (2020): 173–79.
   Google Scholar
• X. Li and J. Zheng, “A Unified Approach to the Extremal Trees for Different Indices,” MATCH Communications in Mathematical and Computer Chemistry 54, no. 1 (2005): 195–208.
   Web of Science ®Google Scholar
• G. Shirdel and A. M. Sayadi, “The hyper-Zagreb Index of Graph Operations,” Iranian Journal of Mathematical Chemistry 4, no. 2 (2013): 213–20.
   Google Scholar
• G. Wei, M. R. Farahani, and M. K. Siddiqui, “On the First and Second Zagreb and First and Second Hyper-Zagreb Indices of Carbon Nanocones CNC k [n],” Journal of Computational and Theoretical Nanoscience 13, no. 10 (2016): 7475–82.
   Google Scholar
• X. Li and I. Gutman, Mathematical Aspects of Randić Type Molecular Structure Descriptors (Kragujevac: University of Kragujevac, 2006).
   Google Scholar
• P. Ranjini, V. Lokesha, and A. Usha, “Relation between Phenylene and Hexagonal Squeeze Using Harmonic Index,” International Journal of Graph Theory 1, no. 4 (2013): 116–21.
   Google Scholar
• R. Pradeep Kumar, D. Soner Nandappa, and M. R. Rajesh Kanna, “Redefined Zagreb, Randic, Harmonic, GA Indices of Graphene,” International Journal of Mathematical Analysis 11, no. 10 (2017): 493–502.
   Google Scholar
• I. Gutman, “Geometric Approach to Degree-Based Topological Indices: Sombor Indices,” MATCH Communications in Mathematical and Computer Chemistry 86, no. 1 (2021): 11–16.
   Web of Science ®Google Scholar
• L. Yan, W. Gao, and J. S. Li, “General Harmonic Index and General Sum Connectivity Index of Polyomino Chains and Nanotubes,” Journal of Computational and Theoretical Nanoscience 12, no. 10 (2015): 3940–94.
   Google Scholar
• B. Zhou and N. Trinajstić, “On General Sum-Connectivity Index,” Journal of Mathematical Chemistry 47, no. 1 (2010): 210–18.
   Web of Science ®Google Scholar
• D. Vukićević 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
• E. Estrada, L. Torres, L. Rodríguez, and I. Gutman, “An Atom-Bond Connectivity Index: Modelling the Enthalpy of Formation of Alkanes,” Indian Journal of Chemistry 37A (1998): 849.
   Google Scholar
• D. Vukićević and A. Graovac, “Valence Connectivities versus Randić, Zagreb and Modified Zagreb Index: A Linear Algorithm to Check Discriminative Properties of Indices in Acyclic Molecular Graphs,” Croatica Chemica Acta 77 (2004): 501–8.
   Web of Science ®Google Scholar
• V. Ravi and K. Desikan, “Neighbourhood Degree-Based Topological Indices of Graphene Structure,” Biointerface Research in Applied Chemistry 11, no. 5 (2021): 13681–94.
   Web of Science ®Google Scholar
• M. Alsharafi, Y. Zeren, and A. Alameri, “The Second Hyper-Zagreb Index of Complement Graphs and Its Applications of Some Nano Structures,” Asian Journal of Probability and Statistics 15, no. 4 (2021): 54–75.
   Google Scholar
• X. Ma and H. Bian, “The Normalized Laplacians, degree-Kirchhoff Index and the Spanning Trees of Cylinder Phenylene Chain,” Polycyclic Aromatic Compounds 41, no. 6 (2021): 1159–79.
   Web of Science ®Google Scholar
• Y. Luo, C. Ren, Y. Xu, J. Yu, S. Wang, and M. Sun, “A First Principles Investigation on the Structural, Mechanical, Electronic, and Catalytic Properties of Biphenylene,” Scientific Reports 11, no. 1 (2021): 1–6.
   PubMed Web of Science ®Google Scholar
• M. Albertson, “The Irregularity of a Graph,” ARS Combinatoria 46 (1997): 219–25.
   Web of Science ®Google Scholar
• H. Abdo, S. Brandt, and D. Dimitrov, “The Total Irregularity of a Graph,” Discrete Mathematics and Theoretical Computer Science 16 (2014): 201–6.
   Web of Science ®Google Scholar
• I. Gutman, M. Togan, A. Yurttas, A. S. Cevik, and I. N. Cangul, “Inverse Problem for Sigma Index,” MATCH Communications in Mathematical and Computer Chemistry 79 (2018): 491–508.
   Web of Science ®Google Scholar
• I. Gutman, “Multiplicative Zagreb Indices of Trees,” Bulletin of the Veterinary Institute in Pulawy 1 (2011): 13–39.
   Google Scholar
• M. Ghorbani and N. Azimi, “Note on Multiple Zagreb Indices,” Iranian Journal of Mathematical Chemistry 3 (2012): 137–43.
   Google Scholar
• Y. Zeren, A. Alameri, M. Alsharafi, A. Ayache, and M. Kamran Jamil, “Degree-Based Molecular Descriptors of Chain Biphenylene,” Biointerface Research in Applied Chemistry 13, no. 5 (2023): 496.
   Google Scholar
• M. Bhanumathi and K. Easu Julia Rani, “On Multiplicative Harmonic Index, Multiplicative ISI Index and Multiplicative F Index of TUC4C8,” International J. on Recent Trends in Life Science and Mathematics 4, no. 9 (2017): 1–8.
   Google Scholar
• X. Zhang, X. Wu, S. Akhter, M. K. Jamil, J. B. Liu, and M. R. Farahani, “Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs,” Symmetry 10, no. 12 (2018): 751–86.
   Google Scholar
• X. Zhang, H. Jiang, J. B. Liu, and Z. Shao, “The Cartesian Product and Join Graphs on Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices,” Molecules 23, no. 7 (2018): 1–17.
   Web of Science ®Google Scholar
• X. Zhang, H. M. Awais, M. Javaid, and M. K. Siddiqui, “Multiplicative Zagreb Indices of Molecular Graphs,” Journal of Chemistry 2019 (2019): 1–19.
   Google Scholar