A simple graph G(X, β¬1 is factor-critical if the induced subgraph (Xx ) admits a perfect matching for every vertex x of G. It is equimatchable if every maximal matching of G is maximum. The equimatchable non-factor-critical graphs have been studied by Lesk, Plummer, and Pulleyblank. In this paper, w
Totally equimatchable graphs
β Scribed by Jerzy Topp; Preben D. Vestergaard
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 308 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
A subset X of vertices and edges of a graph G is totally matching if no two elements of X are adjacent or incident. In this paper we determine all graphs in which every maximal total matching is maximum.
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