In this article, we consider the following problem: Given a bipartite graph G and a positive integer k, when does G have a 2-factor with exactly k components? We will prove that if , then, for any bipartite graph H = (U 1 , U 2 ; F ) with |U 1 | β€ n, |U 2 | β€ n and β(H) β€ 2, G contains a subgraph i
A note on the f-factor-lattice of bipartite graphs
β Scribed by J Rieder
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 406 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
## Abstract Lower bounds on the size of a maximum bipartite subgraph of a triangleβfree __r__βregular graph are presented.
We present a necessary condition for a complete bipartite graph K,., to be K,.,-factorizable and a sufficient condition for K,,, to have a K,,,-factorization whenever k is a prime number. These two conditions provide Ushio's necessary and sufficient condition for K,,, to have a K,,,-factorization.
Venezuela Ap. 47567, Caracas Favaron, O., P. Mago and 0. Ordaz, On the bipartite independence number of a balanced bipartite graph, Discrete Mathematics 121 (1993) 55-63. The bipartite independence number GI aIp of a bipartite graph G is the maximum order of a balanced independent set of G. Let 6 b