The first and second largest Merrifield-Simmons indices of trees with prescribed pendent vertices

DOI10.1007/s10910-006-9224-4zbMath1262.05147OpenAlexW2014358624MaRDI QIDQ937620

Dongdong Wang, Maolin Wang, Hong-Bo Hua

Publication date: 15 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-006-9224-4

zbMATH Keywords

Merrifield-Simmons indextrees with \(k\) pendent vertices

Mathematics Subject Classification ID

Trees (05C05) Applications of graph theory (05C90)

Related Items (5)

Maxima and minima of the Hosoya index and the Merrifield-Simmons index ⋮ Trees with given stability number and minimum number of stable sets ⋮ Ordering trees with given pendent vertices with respect to Merrifield-Simmons indices and Hosoya indices ⋮ Fibonacci index and stability number of graphs: a polyhedral study ⋮ Turán Graphs, Stability Number, and Fibonacci Index

Cites Work

• The Merrifield - Simmons indices and Hosoya indices of trees with \(k\) pendant vertices
• Unicycle graphs with extremal Merrifield-Simmons index
• Bipartite graphs can have any number of independent sets
• Enumeration of structure-sensitive graphical subsets: Theory
• Enumeration of structure-sensitive graphical subsets: Calculations
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