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Research Article

Neighborhood Number-Based Topological Indices of Graphene

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Pages 2733-2751 | Received 16 Mar 2023, Accepted 30 May 2023, Published online: 28 Jun 2023

Reference

  • A. N. A. Koam, A. Ahmad, and A. A. Qummer, “On the Study of Reverse Degree-Based Topological Properties for the Third Type of p th Chain Hex-Derived Network,” Journal of Mathematics. 2021 (2021): 1–12. doi:10.1155/2021/4540276
  • M. N. Husin, S. Zafar, and R. U. Gobithaasan, “Investigation of Atom-Bond Connectivity Indices of Line Graphs Using Subdivision Approach,” Mathematical Problems in Engineering 2022 (2022): 1–9. doi:10.1155/2022/6219155
  • Faryal Chaudhry, Mohamad Nazri Husin, Farkhanda Afzal, Deeba Afzal, Muhammad Ehsan, Murat Cancan, and Mohammad Reza Farahani, “M-Polynomials and Degree-Based Topological Indices of Tadpole Graph,” Journal of Discrete Mathematical Sciences and Cryptography 24, no. 7 (2021): 2059–2072. doi:10.1080/09720529.2021.1984561
  • Fatima Asif, Zohaib Zahid, Mohamad Nazri Husin, Murat Cancan, Ziyattin Taş, Mehdi Alaeiyan, and Moahmmad Reza Farahani, “On Sombor Indices of Line Graph of Silicate Carbide Si 2 C 3 - I [p,q],” Journal of Discrete Mathematical Sciences and Cryptography 25, no. 1 (2022): 301–310. doi:10.1080/09720510.2022.2043621
  • W. Gao, M. R. Farahani, S. Wang, and M. N. Husin, “On the Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Certain Graph Operations,” Journal of Applied Mathematics and Computing. 308 (2017): 11–17. doi:10.1016/j.amc.2017.02.046
  • 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 UsingTopological Indices,” Combinatorial Chemistry & High Throughput Screening 25, no. 3 (2022): 441–450. doi:10.2174/1386207323999201001210832
  • M. Nazri Husin, and R. Hasni, “The Neighbourhood Polynomial of Some Families of Dendrimers,” Journal of Physics: Conference Series 1008 (2018): 012028. doi:10.1088/1742-6596/1008/1/012028
  • 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): 1731. doi:10.3390/molecules23071731
  • J.-B. Liu, M. F. Nadeem, and M. Azeem, “Bounds on the Partition Dimension of Convex Polytopes,” Combinatorial Chemistry & High Throughput Screening 25, no. 3 (2022): 547–553. doi:10.2174/1386207323666201204144422
  • M. N. Husin, and A. Ariffin, “On the Edge Version of Topological Indices for Certain Networks,” Italian Journal of Pure and Applied Mathematics, no. 47 (2022): 550–564.
  • M. Azeem, and M. F. Nadeem, “Metric-Based Resolvability of Polycyclic Aromatic Hydrocarbons,” The European Physical Journal Plus 136, no. 4 (2021): 395. doi:10.1140/epjp/s13360-021-01399-8
  • X. Zhang, X. Wu, S. Akhter, M. Jamil, J.-B. Liu, and M. Farahani, “Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs,” Symmetry 10, no. 12 (2018): 751. doi:10.3390/sym10120751
  • Abdulhafid Modabish, Mohamad Nazri Husin, Abdu Qaid Alameri, Hanan Ahmed, Mehdi Alaeiyan, Mohammed Reza Farahani, and Murat Cancan, “Enumeration of Spanning Trees in a Chain of Diphenylene Graphs,” Journal of Discrete Mathematical Sciences and Cryptography 25, no. 1 (2022): 241–251. doi:10.1080/09720529.2022.2038931
  • X. Zhang, A. Rauf, M. Ishtiaq, M. K. Siddiqui, and M. H. Muhammad, “On Degree Based Topological Properties of Two Carbon Nanotubes,” Polycyclic Aromatic Compounds 42, no. 3 (2022): 866–884. doi:10.1080/10406638.2020.1753221
  • M. U. Ghani, F. J. H. Campena, K. Pattabiraman, R. Ismail, H. Karamti, and M. N. Husin, “Valency-Based Indices for Some Succinct Drugs by Using M-Polynomial,” Symmetry 15, no. 3 (2023): 603. doi:10.3390/sym15030603
  • M. Azeem, M. K. Jamil, and Y. Shang, “Notes on the Localization of Generalized Hexagonal Cellular Networks,” Mathematics 11, no. 4 (2023): 844. doi:10.3390/math11040844
  • A. Shabbir, and M. Azeem, “On the Partition Dimension of Tri-Hexagonal α-Boron Nanotube,” IEEE Access. 9 (2021): 55644–55653. doi:10.1109/ACCESS.2021.3071716
  • W. Gao, M. N. Husin, M. R. Farahani, and M. Imran, “On the Edges Version of Atom-Bond Connectivity Index of Nanotubes,” Journal of Computational and Theoretical Nanoscience 13, no. 10 (2016): 6733–6740. doi:10.1166/jctn.2016.5621
  • Y. Liu, M. Rezaei, M. R. Farahani, M. N. Husin, and M. Imran, “The Omega Polynomial and the Cluj-Ilmenau Index of an Infinite Class of the Titania Nanotubes TiO 2 (m, n),” Journal of Computational and Theoretical Nanoscience 14, no. 7 (2017): 3429–3432. doi:10.1166/jctn.2017.6646
  • V. S. Shigehalli, and R. Kanabur, “Computation of New Degree-Based Topological Indices of Graphene,” Journal of Mathematics. 2016 (2016): 1–6. doi:10.1155/2016/4341919
  • G. Sridhara, M. R. Rajesh Kanna, and R. S. Indumathi, “Computation of Topological Indices of Graphene,” Journal of Nanomaterials. 2015 (2015): 1–8. doi:10.1155/2015/969348
  • S. Mondal, N. De, and A. Pal, “Topological Properties of Graphene Using Some Novel Neighborhood Degree-Based Topological Indices,” International Journal of Mathematics for Industry 11, no. 01 (2019): 1950006. doi:10.1142/S2661335219500060
  • T. Došlić, I. Martinjak, R. Škrekovski, S. Tipurić Spužević, and I. Zubac, “Mostar Index,” Journal of Mathematical Chemistry 56, no. 10 (2018): 2995–3013. doi:10.1007/s10910-018-0928-z
  • S. Akhter, Z. Iqbal, A. Aslam, and W. Gao, “Computation of Mostar Index for Some Graph Operations,” International Journal of Quantum Chemistry 121, no. 15 (2021) doi:10.1002/qua.26674
  • A. Ali, and T. Došlić, “Mostar Index: Results and Perspectives,” Journal of Applied Mathematics and Computing. 404 (2021): 126245. doi:10.1016/j.amc.2021.126245
  • K. Deng, and S. Li, “Extremal Catacondensed Benzenoids with Respect to the Mostar Index,” Journal of Mathematical Chemistry 58, no. 7 (2020): 1437–1465. doi:10.1007/s10910-020-01135-0
  • I. Gutman, and A. A. Dobrynin, ‘The Szeged Index – A Success Story’, Graph Theory Notes. New York, vol. 34, 37–44. 1998.
  • L. Yan, Y. Li, M. R. Farahani, M. Imran, and M. R. R. Kanna, “Computing the Szeged, Revised Szeged and Normalized Revised Szeged Indices of the Polycyclic Aromatic Hydrocarbons PAH k,” Journal of Computational and Theoretical Nanoscience 13, no. 11 (2016): 8874–8878. doi:10.1166/jctn.2016.6056
  • M. Ghorbani, X. Li, H. R. Maimani, Y. Mao, S. Rahmani, and M. Rajabi-Parsa, ‘Steiner (revised) Szeged index of graphs’. arXiv, 2019. http://arxiv.org/abs/1905.13621
  • S. Klavžar, A. Rajapakse, and I. Gutman, “The Szeged and the Wiener Index of Graphs,” Applied Mathematics Letters. 9, no. 5 (1996): 45–49. doi:10.1016/0893-9659(96)00071-7
  • P. V. Khadikar, S. Karmarkar, and V. K. Agrawal, “A Novel PI Index and Its Applications to QSPR/QSAR Studies,” Journal of Chemical Information and Computer Sciences 41, no. 4 (2001): 934–949. doi:10.1021/ci0003092
  • A. R. Ashrafi, and H. Saati, “PI and Szeged Indices of One-Pentagonal Carbon Nanocones,” Journal of Computational and Theoretical Nanoscience 4, no. 4 (2007): 761–763. doi:10.1166/jctn.2007.2363
  • A. Ashrafi, and F. Gholami-Nezhaad, “The PI and Edge Szeged Indices of One-Heptagonal Carbon Nanocones,” Current Nanoscience 5, no. 1 (2009): 51–53. doi:10.2174/157341309787314629
  • H. Yousefi-Azari, B. Manoochehrian, and A. R. Ashrafi, “The PI Index of Product Graphs,” Applied Mathematics Letters. 21, no. 6 (2008): 624–627. doi:10.1016/j.aml.2007.07.015

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