Structural Remarks on Bipartite Graphs with Uniquef-Factors
β Scribed by Arne Hoffmann; Lutz Volkmann
- Publisher
- Springer Japan
- Year
- 2005
- Tongue
- English
- Weight
- 97 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
The set of two-factors of a bipartite k-regular graph, k > 2, spans the cycle space of the graph. In addition, a new non-hamiltonian T-connected bicubic graph on 92 vertices is constructed.
Let G = (X; Y; E(G)) be a bipartite graph with vertex set V (G) = X βͺ Y and edge set E(G) and let g and f be two non-negative integer-valued functions deΓΏned on V (G) such that g(x) 6 f(x) for each x β V (G). A (g; f)-factor of G is a spanning subgraph F of G such that g(x) 6 dF (x) 6 f(x) for each
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