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
On cuts and matchings in planar graphs
β Scribed by Francisco Barahona
- Publisher
- Springer-Verlag
- Year
- 1993
- Tongue
- English
- Weight
- 877 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0025-5610
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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
## Abstract The MatchingβCut problem is the problem to decide whether a graph has an edge cut that is also a matching. Previously this problem was studied under the name of the Decomposable Graph Recognition problem, and proved to be ${\cal{NP}}$βcomplete when restricted to graphs with maximum deg
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