On maximum induced matchings in bipartite graphs
β Scribed by V.V. Lozin
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 75 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0020-0190
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π SIMILAR VOLUMES
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.
Let G be a plane bipartite graph. The Z-transformation graph Z(G) and its orientation Z(G) on the maximum matchings of G are deΓΏned. If G has a perfect matching, Z(G) and Z(G) are the usual Z-transformation graph and digraph. If G has neither isolated vertices nor perfect matching, then Z(G) is not
A maximum stable set in a graph G is a stable set of maximum size. S is a local maximum stable set of G, and we write S β (G), if S is a maximum stable set of the subgraph spanned by S βͺ N (S), where N (S) is the neighborhood of S. A matching M is uniquely restricted if its saturated vertices induce