On extremal unicyclic molecular graphs with maximal Hosoya index

DOI10.1016/J.DAM.2008.06.006zbMath1200.05241OpenAlexW2008276241MaRDI QIDQ1003686

Jianping Ou

Publication date: 4 March 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.06.006

zbMATH Keywords

matchingFibonacci numberHosoya indexunicyclic molecular graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (13)

Distance spectral radius of trees with given matching number ⋮ Maxima and minima of the Hosoya index and the Merrifield-Simmons index ⋮ Ordering of Hosoya indices for unicyclic Hückel graphs ⋮ On radius 2 trees with the maximum number of matchings ⋮ The Hosoya index and the Merrifield-Simmons index ⋮ Hosoya index of unicyclic graphs with prescribed pendent vertices ⋮ On extremal unicyclic molecular graphs with prescribed girth and minimal Hosoya index ⋮ On the number of independent subsets in trees with restricted degrees ⋮ Graphs with maximal Hosoya index and minimal Merrifield-Simmons index ⋮ ON MAXIMAL ENERGY AND HOSOYA INDEX OF TREES WITHOUT PERFECT MATCHING ⋮ Minimizing a class of unicyclic graphs by means of Hosoya index ⋮ The number of independent sets of unicyclic graphs with given matching number ⋮ A new proof of a result concerning a complete description of \((n, n + 2) \)-graphs with maximum value of the Hosoya index

Cites Work

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• On the ordering of graphs with respect to their matching numbers
• On acyclic conjugated molecules with minimal energies
• Problems in algebraic combinatorics
• On acyclic systems with minimal Hosoya index
• On extremal unicyclic molecular graphs with prescribed girth and minimal Hosoya index
• Unicyclic graphs with minimal energy

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