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Transactions on Combinatorics
Article . 2012
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https://dx.doi.org/10.22108/to...
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The Hosoya index and the Merrifield-Simmons index of some graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012Publisher:University of Isfahan, Department of Mathematics, IsfahanJournal:Transactions on Combinatorics (issn: 2251-8657, Copyright policy )
Authors: Hamzeh, Asma; Iranmanesh, Ali; Hosseinzadeh, Mohammad Ali; Hossein-Zadeh, Samaneh;

doi: 10.22108/toc.2012.2588

The Hosoya index and the Merrifield-Simmons index of some graphs

Abstract

Summary: The Hosoya index and the Merrifield-Simmons index are two types of graph invariants used in mathematical chemistry. In this paper, we give some formulas for computed these indices for some classes of corona product and link of two graphs. Furthermore, we obtain exact formulas of Hosoya and Merrifield-Simmons indices for the set of bicyclic graphs, caterpillars and dual star.

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Keywords

Extremal problems in graph theory, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Applications of graph theory, Corona product, QA1-939, Merrifield-Simmons index, Hosoya index, Link of two graphs, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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