On Hosoya Index and Merrifield‐Simmons Index of trees with given domination number

DOI10.1002/num.22712OpenAlexW3112499947WikidataQ115397485 ScholiaQ115397485MaRDI QIDQ6089066

Bünyamin Şahin

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22712

zbMATH Keywords

treetopological indexdomination numbersubtreeHosoya indexMerrifield-Simmons index

Mathematics Subject Classification ID

Trees (05C05) Enumeration in graph theory (05C30) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

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• Maxima and minima of the Hosoya index and the Merrifield-Simmons index
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• Orderings of a class of trees with respect to the Merrifield-Simmons index and the Hosoya index
• On extremal multiplicative Zagreb indices of trees with given domination number
• The number of independent sets in unicyclic graphs
• THE HOSOYA INDEX OF GRAPHS FORMED BY A FRACTAL GRAPH
• Maximizing the number of independent subsets over trees with bounded degree

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