The Merrifield–Simmons Index of the Fullerene Derivative Hexagonal System

References

• L. Chen and Y. Shi, “The Maximal Matching Energy of Tricyclic Graphs,” MATCH Communications in Mathematical and in Computer Chemistry 73 (2015): 105–19.
   Web of Science ®Google Scholar
• L. Feng, G. Yu, K. Xu, and Z. Jiang, “A Note on the Kirchhoff Index of Bicyclic Graphs,” Ars Combinatoria 114 (2014): 33–40.
   Web of Science ®Google Scholar
• L. Feng, W. Liu, G. Yu, and S. Li, “The Hyper-Wiener Index of Graphs with Given Bipartition,” Utilitas Mathematica 95 (2014): 23–32.
   Web of Science ®Google Scholar
• L. Gan and C. Wang, Structures,Properties and Applications of Fullerenes and Their Derivatives (Beijing: Chemical Industry Press, 2019).
   Google Scholar
• I. Gutman and O. E. Polansky, Mathematical Concepts in Organic Chemistry (Berlin: Springer, 1986).
   Google Scholar
• I. Gutman and S. Wagner, “The Matching Energy of a Graph,” Discrete Applied Mathematics 160, no. 15 (2012): 2177–87. doi:10.1016/j.dam.2012.06.001
   Web of Science ®Google Scholar
• S. Gupta, M. Singh, and A. K. Madan, “Application of Graph Theory: Relationship of Eccentric Connectivity Index and Wiener’s Index with Anti-Inflammatory Activity,” Journal of Mathematical Analysis and Applications. 266, no. 2 (2002): 259–68. doi:10.1006/jmaa.2000.7243
   Web of Science ®Google Scholar
• H. Hosoya, “Topological Index, Bull,” Bulletin of the Chemical Society of Japan 44, no. 9 (1971): 2332–9. doi:10.1246/bcsj.44.2332
   Web of Science ®Google Scholar
• S. Li and L. Zhao, “On the Extremal Total Reciprocal Edge-Eccentricity of Trees,” Journal of Mathematical Analysis and Applications. 433, no. 1 (2016): 587–602. doi:10.1016/j.jmaa.2015.07.057
   Web of Science ®Google Scholar
• S. Li, X. Li, and Z. Zhu, “On Minimal Energy and Hosoya Index of Unicyclic Graphs,” MATCH Communications in Mathematical and in Computer Chemistry 61 (2009): 325–39.
   Web of Science ®Google Scholar
• S. Li, M. Zhang, G. Yu, and L. Feng, “On the Extremal Values of the Eccentric Distance Sum of Trees,” Journal of Mathematical Analysis and Applications. 390, no. 1 (2012): 99–112. doi:10.1016/j.jmaa.2012.01.022
   Web of Science ®Google Scholar
• S. Li and W. Yan, “The Matching Energy of Graphs with Given Parameters,” Discrete Applied Mathematics 162 (2014): 415–20. doi:10.1016/j.dam.2013.09.014
   Web of Science ®Google Scholar
• X. Li, Y. Shi, and I. Gutman, Graph Energy (New York: Springer, 2012).
   Google Scholar
• J.-B. Liu, D.A. Xavier, E.S. Varghese, A. Baby, D. Mathew, “Molecular Descriptors of Porphyrin-Based Dendrimer,” Polycyclic Aromatic Compounds 43, no. 7 (2023): 6126–37. doi:10.1080/10406638.2022.2112714
   Web of Science ®Google Scholar
• J.-B. Liu, Y. Bao, W.T. Zheng, etc. “Analyses of Some Structural Properties on a Class of Hierarchical Scale-Free Networks,” Fractals 30, no. 07 (2022): 2250136. doi:10.1142/S0218348X22501365
   Web of Science ®Google Scholar
• J. Nan, Combinatorial Mathematics (Beijing: Higher Education Press, 2008).
   Google Scholar
• W.C. Shiu, “Extremal Hosoya Index and Merrifield-Simmons Index of Hexagonal Spiders,” Discrete Applied Mathematics 156, no. 15 (2008): 2978–85. doi:10.1016/j.dam.2008.01.008
   Web of Science ®Google Scholar
• G. Wang, Y. Liu, J. Wei, J.-B. Liu, etc. “The Edge-hyper-Wiener Index of Zigzag Single-Walled Nanotubes,” Polycyclic Aromatic Compounds 43, no. 2 (2023): 1509–23. doi:10.1080/10406638.2022.2030764
   Google Scholar
• S. Wagner and I. Gutman, “Maxima and Minima of the Hosoya Index and the Merrifield-Simmons Index,” Acta Applicandae Mathematicae 112, no. 3 (2010): 323–46. doi:10.1007/s10440-010-9575-5
   Web of Science ®Google Scholar
• T. Wu, W. Yan, and H. Zhang, “Extremal Matching Energy of Complements of Trees,” Discussiones Mathematicae Graph Theory 36, no. 3 (2016): 505–21. doi:10.7151/dmgt.1869
   Web of Science ®Google Scholar
• T. Wu, “Two Classes of Topological Indices of Phenylene Molecule Graphs,” Mathematical Problems in Engineering 2016 (2016): 1–5. doi:10.1155/2016/8421396
   Web of Science ®Google Scholar
• K. Xu, K. Das, and H. Liu, “Some Extremal Results on the Connective Eccentricity Index of Graphs,” Journal of Mathematical Analysis and Applications. 433, no. 2 (2016): 803–17. doi:10.1016/j.jmaa.2015.08.027
   Web of Science ®Google Scholar
• K. Xu, K. C. Das, and Z. Zheng, “The Minimum Matching Energy of (n, m)-Graphs with a Given Matching Number,” MATCH Communications in Mathematical and in Computer Chemistry 73 (2015): 93–104.
   Web of Science ®Google Scholar
• S. Xu and H. Zhang, “Generalized Hosoya Polynomials of Hexagonal Chains,” Journal of Mathematical Chemistry 43, no. 2 (2008): 852–63. doi:10.1007/s10910-007-9234-x
   Web of Science ®Google Scholar
• Y. Yang, Y. Wang, and Y. Li, “The Global Cyclicity Index of Benzenoid Chains,” Journal of Chemistry 2013 (2013): 1–5. doi:10.1155/2013/483962
   Web of Science ®Google Scholar
• G. Yu, L. Feng, and A. Ilić, “The Largest n–1 Hosoya Index of Unicyclic Graphs,” arXiv:1105.5522.
   Google Scholar
• G. Yu, L. Feng, and A. Ilić, “On the Eccentric Distance Sum of Trees and Unicyclic Graphs,” Journal of Mathematical Analysis and Applications 375, no. 1 (2011): 99–107. doi:10.1016/j.jmaa.2010.08.054
   Web of Science ®Google Scholar
• G. Yu, H. Qu, L. Tang, and L. Feng, “On the Connective Eccentricity Index of Trees and Unicyclic Graphs with Given Diameter,” Journal of Mathematical Analysis and Applications 420, no. 2 (2014): 1776–86. doi:10.1016/j.jmaa.2014.06.050
   Web of Science ®Google Scholar
• H. Zhao and X. Li, “On the Fibonacci Numbers of Trees,” The Fibonacci Quarterly 44 (2006): 32–8.
   Web of Science ®Google Scholar
• B. Zhou and Z. Du, “On Eccentric Connectivity Index,” MATCH Communications in Mathematical and in Computer Chemistry 63 (2010): 181–98.
   Web of Science ®Google Scholar