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arXiv · 2107.04322

On the Number of $k-$Matchings in Graphs

Kinkar Ch. Das·Ali Ghalavand·Ali Reza Ashrafi
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Abstract

Suppose $G$ is a undirected simple graph. A $k-$subset of edges in $G$ without common vertices is called a $k-$matching and the number of such subsets is denoted by $p(G,k)$. The aim of this paper is to present exact formulas for $p(G,3)$, $p(G,4)$ and $P(G,5)$ in terms of some degree-based invariants.

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Kinkar Ch. Das, Ali Ghalavand, Ali Reza Ashrafi. 2021-07-09. On the Number of $k-$Matchings in Graphs. https://arxiv.org/abs/2107.04322

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