Maximum matchings in planar graphs via gaussian elimination
โ Scribed by Marcin Mucha; Piotr Sankowski
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 910 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0178-4617
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๐ 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.
Plummer, M.D., Extending matchings in planar graphs IV, Discrete Mathematics 109 (1992) 207-219. The structure of certain non-Zextendable planar graphs is studied first. In particular, 4-connected S-regular planar graphs which are not 2-extendable are investigated and examples of these are presented
A graph G on at least 2n + 2 vertices in n-extendable if every set of n independent edges extends to (i.e., is a subset of) a perfect matching in G. It is known that no planar graph is 3-extendable. In the present paper we continue to study 2-extendability in the plane. Suppose independent edges el