A graph G of even order is said to be k-extendable if every matching of size k in G can be extended to a 1-factor of G. Plummet (1988) showed that a graph G is k-extendable if tough (G) > k, and we here prove that G is also k-extendable if bind(G) > max {k, (7k + 13)/12}.
Toughness and matching extension in graphs
โ Scribed by M.D. Plummer
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 588 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0012-365X
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