Merrifield-Simmons index and minimum Number of Independent Sets in Short Trees.
Ars Comb., 2013In Ars Comb. 84 (2007),85-96, Pedersen and Vestergaard posed the problem of determining a lower bound for the number of independent sets in a tree of fixed order and diameter d. Asymptotically, we give here a complete solution for trees of diameter d < 5. The lower bound is 5n/3 and we give the structure of the extremal trees.
Frendrup, A. +3 more
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On Hosoya Index and Merrifield-Simmons Index of trees with given domination number
Numerical Methods for Partial Differential Equations, 2022Bunyamin Şahin
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The Merrifield–Simmons Index of the Fullerene Derivative Hexagonal System
Polycyclic Aromatic Compounds, 2023Ren Shengzhang +5 more
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On the comparative analysis of Merrifield-Simmons index and connective eccentricity index
Journal of Applied Mathematics and ComputingMital Gor, S. Veeramani
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Comparison between Merrifield-Simmons index and some vertex-degree-based topological indices
Computational and Applied Mathematics, 2023Hechao Liu
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Extremal Instances of Polyphenylene Dendrimers for the Merrifield-Simmons Index
Computación y SistemasGuillermo De Ita Luna +3 more
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The Merrifield–Simmons Indices and Hosoya Indices of Trees with k Pendant Vertices
Journal of Mathematical Chemistry, 2006Aimei Yu
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Graphs with given number of cut vertices and extremal Merrifield–Simmons index
Discrete Applied Mathematics, 2011Hongbo Hua, Shenggui Zhang
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ON THE MERRIFIELD-SIMMONS INDEX AND HOSOYA INDEX OF TREE-TRIANGLE GRAPHS
Far East Journal of Applied Mathematics, 2015Sun Xie, Haixing Zhao, Yaping Mao
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The Hosoya indices and Merrifield–Simmons indices of graphs with connectivity at most
Applied Mathematics Letters, 2012Jianxi Li, Kexiang Xu
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