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Research Articles

On Some Topological Indices of Metal-Organic Frameworks

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Pages 5607-5628 | Received 01 Jun 2022, Accepted 18 Jul 2022, Published online: 12 Aug 2022

References

  • 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.
  • X. Zhang, H. M. Awais, M. Javaid, and M. K. Siddiqui, “Multiplicative Zagreb Indices of Molecular Graphs,” Journal of Chemistry 2019 (2019): 1–19.
  • J. A. Bondy and U. S. R. Murty, Graph Theory with Applications (New York, NY: Macmillan, 1976).
  • M. T. Hussain, M. Javaid, U. Ali, A. Raza, and M. N. Alam, “Comparing Zinc Oxide-and Zinc Silicate-Related Metal-Organic Networks via Connection-Based Zagreb Indices,” Journal of Chemistry 2021 (2021): 1–12.
  • A. Kashif, S. Aftab, M. Javaid, and H. M. Awais, “M-Polynomial-Based Topological Indices of Metal-Organic Networks,” Main Group Metal Chemistry 44, no. 1 (2021): 129–40.
  • Rongbing Huang, Mehwish Hussain Muhammad, Muhammad Kamran Siddiqui, Muhammad Nasir, and Murat Cancan, “On Degree Based Topological Properties of Two Carbon Nanotubes,” Polycyclic Aromatic Compounds 10 (2021): 1–35.
  • 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.
  • H. Deng, G. Huang, and X. Jiang, “A Unified Linear-Programming Modeling of Some Topological Indices,” Journal of Combinatorial Optimization 30, no. 3 (2015): 826–37.
  • J.-B. Liu and X.-F. Pan, “Minimizing Kirchhoff Index among Graphs with a Given Vertex Bipartiteness,” Applied Mathematics and Computation 291 (2016): 84–8.
  • W. Cai and L. L. Gouveia, “Modeling and Simulation of Maximum Power Point Tracker in Ptolemy,” Journal of Clean Energy Technologies 1 (2013): 6–9.
  • M. Dehmer, F. Emmert-Streib, and M. Grabner, “A Computational Approach to Construct a Multivariate Complete Graph Invariant,” Information Sciences 260 (2014): 200–8.
  • B. Furtula, I. Gutman, and M. Dehmer, “On Structure-Sensitivity of Degree-Based Topological Indices,” Applied Mathematics and Computation 219, no. 17 (2013): 8973–8.
  • M. Eliasi, A. Iranmanesh, and I. Gutman, “Multiplicative Version of First Zagreb Index,” MATCH Communications in Mathematical and in Computer Chemistry 68 (2012): 217–30.
  • R. Kazemi, “Note on the Multiplicative Zagreb Indices,” Discrete Applied Mathematics 198 (2016): 147–54.
  • C. Wang, S. Wang, and B. Wei, “Cacti with Extremal PI Index,” Transition Comb 5 (2016): 1–8.
  • I. Gutman, “Multiplicative Zagreb Indices of Trees,” Bulletin of Society of Mathematicians Banja Luka 18 (2011): 17–23.
  • Boris Furtula, Ante Graovac, and Damir Vukičević, “Augmented Zagreb Index,” Journal of Mathematical Chemistry 48, no. 2 (2010): 370–80.
  • P. Sarkar, N. De, and A. Pal, “F-Index of Graphs Based on New Operations Related to the Join of Graphs,” 2017. https://arxiv.org/abs/1709.06301.
  • Dongming Zhao, Mehwish Hussain Muhammad, Muhammad Kamran Siddiqui, Muhammad Nasir, Muhammad Faisal Nadeem, and Muhammad Farhan Hanif, “Computation and Analysis of Topological Co-Indices for Metal-Organic Compound,” Current Organic Synthesis 18, no. 8 (2021): 750–60.
  • Xing-Long Wang, Muhammad Kamran Siddiqui, Syed Ajaz K. Kirmani, Shazia Manzoor, Sarfraz Ahmad, and Mlamuli Dhlamini, “On Topological Analysis of Entropy Measures for Silicon Carbides Networks,” Complexity 2021 (2021): 1–26.
  • 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.
  • 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.
  • N. De, S. M. A. Nayeem, and A. Pal, “F-Index of Some Graph Operations,” Discrete Mathematics, Algorithms, and Applications 8, no. 2 (2016): 1–17.
  • N. De and S. M. A. Nayeem, “Computing the F-Index of Nanostar Dendrimers,” Pacific Science Review A: Natural Science and Engineering 18, no. 1 (2016): 14–21.
  • N. De, “F-Index and Coindex of Some Derived Graphs,” Journal of the International Mathematical Virtual Institute 8 (2018): 81–8.
  • Weidong Zhao, Muhammad Faisal Nadeem, Murat Cancan, Muhammad Kamran Siddiqui, Kashif Ali, Hafiz Muhammad Afzal Siddiqui, Atiq Ur Rehman, Muhammad Farhan Hanif, Ali Ahmad, Mehwish Hussain Muhammad, et al., “On Degree Based Topological Indices of Transition Metal-Tetra Cyano Polycyclic Benzene Organic Network,” Polycyclic Aromatic Compounds 10 (2021): 1–27.
  • F. Chaudhry, M. N. Husin, F. Afzal, D. Afzal, M. Ehsan, M. Cancan, and M. R. Farahani, “M-Polynomial and Degree-Based Topological Indices of Tadpole Graph,” Journal of Discrete Mathematical Sciences and Cryptography 24, no. 7 (2021): 2059–72.
  • S. Hameed, M. N. Husin, F. Afzal, H. Hussain, D. Afzal, M. R. Farahani, and M. Cancan, “On Computation of Newly Defined Degree-Based Topological Invariants of Bismuth Triiodide via M-Polynomial,” Journal of Discrete Mathematical Sciences and Cryptography 24, no. 7 (2021): 2073–91.
  • N. H. A. M. Saidi, M. N. Husin, and N. B. Ismail, “On the Zagreb Indices of the Line Graphs of Polyphenylene Dendrimers,” Journal of Discrete Mathematical Sciences and Cryptography 23, no. 6 (2020): 1239–52.
  • N. H. A. M. Saidi, M. N. Husin, and N. B. Ismail, “Zagreb Indices and Zagreb Coindices of the Line Graphs of the Subdivision Graphs,” Journal of Discrete Mathematical Sciences and Cryptography 23, no. 6 (2020): 1253–67.
  • N. H. A. M. Saidi, M. N. Husin, and N. B. Ismail, “On the Topological Indices of the Lines Graphs of Polyphenylene Dendrimer,” AIP Conference Proceedings 10 (2021): 23–65.
  • M. N. Husin, R. Hasni, and N. E. Arif, “Zagreb Polynomial of Some Nanostar Dendrimers,” Journal of Computational and Theoretical Nanoscience 12, no. 11 (2015): 4297–300.
  • X. Zhang, M. Naeem, A. Q. Baig, and M. A. Zahid, “Study of Hardness of Superhard Crystals by Topological Indices,” Journal of Chemistry 10 (2021): 7–20.
  • X. Zhang, M. K. Siddiqui, S. Javed, L. Sherin, F. Kausar, and M. H. Muhammad, “Physical Analysis of Heat for Formation and Entropy of Ceria Oxide Using Topological Indices,” Combinatorial Chemistry & High Throughput Screening 25, no. 3 (2022): 441–50.
  • Jian-Rong Li, Ryan J. Kuppler, and Hong-Cai. Zhou, ” “Selective Gas Adsorption and Separation in Metal–Organic Frameworks,” Chemical Society Reviews 38, no. 5 (2009): 1477–504.
  • Lev Sarkisov, ” “Toward Rational Design of Metal–Organic Frameworks for Sensing Applications: efficient Calculation of Adsorption Characteristics in Zero Loading Regime,” The Journal of Physical Chemistry C 116, no. 4 (2012): 3025–33.
  • G. Hong, Z. Gu, M. Javaid, H. M. Awais, and M. K. Siddiqui, “Degree-Based Topological Invariants of Metal-Organic Networks,” IEEE Access 8 (2020): 68288–300.
  • H. M. Awais, M. Jamal, and M. Javaid, “Topological Properties of Metal-Organic Frameworks,” Main Group Metal Chemistry 43, no. 1 (2020): 67–76.

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