Matchings in graphs II
β Scribed by P.J. McCarthy
- Book ID
- 107748197
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 680 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A general formula is derivedfor the matching polynomial of an arbitrary graph G. This yields a methodfor counting matchings in graphs. From the general formula, explicit formulae are deducedfor the number of k-matchings in several well-known families of graphs.
A theorem of states that for every n x n (n ~> 3) complete bipartite graph G such that every edge is coloured and each colour is the colour of at most two edges, there is a perfect matching whose edges have distinct colours. We give an O(n 2) algorithm for finding such a perfect matching. We show t
We provide a formula for the number of edges of a maximum induced matching in a graph. As applications, we give some structural properties of (k + 1 )K2-free graphs, construct all 2K2-free graphs, and count the number of labeled 2K2-free connected bipartite graphs.
## Abstract The matching polynomial Ξ±(__G, x__) of a graph __G__ is a form of the generating function for the number of sets of __k__ independent edges of __G__. in this paper we show that if __G__ is a graph with vertex __v__ then there is a tree __T__ with vertex __w__ such that \documentclass{ar