Countable α-extendable graphs
✍ Scribed by Jean-Luc Rullière; Stéphan Thomassé
- Book ID
- 108315590
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 222 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
We say that a simple graph G is induced matching extendable, shortly IM-extendable, if every induced matching of G is included in a perfect matching of G. The main results of this paper are as follows: (1) For every connected IM-extendable graph 2 |V (G)| -2; the equality holds if and only if G ∼
A graph G is 2-extendable if any two independent edges of G are contained in a perfect matching of G. A Cayley graph of even order over an abelian group is 2-extendable if and only if it is not isomorphic to any of the following circulant graphs: (I) Z2.(1,2n -1), n >~ 3; (II) ZE.(1,2,2n -1,2n -2),