## Katerinis and Tsikopoulos (Graphs. Combin. 12 (1996) 327) give su cient conditions for a regular bipartite graph to have a perfect matching excluding a set of edges. In this paper, we give a necessary and su cient condition for a bipartite graph to have an f-factor containing a set of edges and
โฆ LIBER โฆ
On toughness and (g, f)-factors in bipartite graphs
โ Scribed by Qiuju Bian
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 165 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1598-5865
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LetGbeagraphandletF={F,,F,,..., F,,,} and H be a factorization and a subgraph of G, respectively. If H has exactly one edge in common with Fi for all i, 1 < i < m, then we say that F is orthogonal to H. Let g andf be two integer-valued functions defined on V(G) such that g(x) < f(x) for every x E V(