Irreducible pseudo 2-factor isomorphic cubic bipartite graphs
✍ Scribed by Marién Abreu, Domenico Labbate, John Sheehan
- Book ID
- 113064406
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 311 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0925-1022
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📜 SIMILAR VOLUMES
## Butte producxd ihe first example of a 3-connected cubic planar nonhamihonian gJaph. On adding the cxmcition that the graph must he bipartite and admitting 2-connected graphs. We prove that the smallest possible such graph has 26 points and is unique.
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 | ≤ n, |U 2 | ≤ n and ∆(H) ≤ 2, G contains a subgraph i