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Transactions on Combinatorics
Article . 2012
Data sources: DOAJ
mEDRA
Article . 2012
Data sources: mEDRA
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Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs

Authors: Reyhani, Mohammad; Alikhani, Saeid; Iranmanesh, Mohammad;

Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs

Abstract

Let G = (V;E) be a simple graph of order n and size m. An r-matching of G is a set of r edges of G which no two of them have common vertex. The Hosoya index Z(G) of a graph G is defined as the total number of its matchings. An independent set of G is a set of vertices where no two vertices are adjacent. The Merriffield-Simmons index of G is de¯ned as the total number of the independent sets of G. In this paper we obtain Hosoya and Merrifield-Simmons indices of corona of some graphs.

Keywords

Hosoya, QA1-939, Matching, Corona, Merrifield-Simmons index, 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!
0
Average
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