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Cacti with the maximum Merrifield-Simmons index and given number of cut edges

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Publication:602824
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DOI10.1016/j.aml.2010.07.010zbMath1205.05117OpenAlexW2004856677MaRDI QIDQ602824

Maolin Wang

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.07.010


zbMATH Keywords

extremal graphcut edgecactusMerrifield-Simmons index


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


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Some edge-grafting transformations on the eccentricity resistance-distance sum and their applications



Cites Work

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  • The Merrifield - Simmons indices and Hosoya indices of trees with \(k\) pendant vertices
  • 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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