The Hosoya index and the Merrifield-Simmons index

DOI10.1007/s10910-018-0937-yzbMath1406.92765OpenAlexW2883867642MaRDI QIDQ1713982

Yufeng Huang, Xingyu Xu, Ling-Sheng Shi

Publication date: 30 January 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-018-0937-y

zbMATH Keywords

graphFibonaccimatchingcliqueHosoya indexMerrifield-Simmons index

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (3)

Independent vertex sets in the Zykov sum ⋮ Orderings of a class of trees with respect to the Merrifield-Simmons index and the Hosoya index ⋮ Computing the Merrifield-Simmons indices of benzenoid chains and double benzenoid chains

Cites Work

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• Maxima and minima of the Hosoya index and the Merrifield-Simmons index
• The Merrifield-Simmons index in \((n,n+ 1)\)-graphs
• The smallest hosoya index in \((n,n+1)\)-graphs
• Unicycle graphs with extremal Merrifield-Simmons index
• On the maximum number of cliques in a graph
• On extremal unicyclic molecular graphs with maximal Hosoya index
• The largest Hosoya index of \((n,n+1)\)-graphs
• The smallest Merrifield-Simmons index of \((n,n+1)\)-graphs
• On extremal unicyclic molecular graphs with prescribed girth and minimal Hosoya index
• The number of independent sets in unicyclic graphs

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