Bipartite Graph Tiling
β Scribed by Zhao, Yi
- Book ID
- 118197633
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 235 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Given a bipartite graph __H__ and a positive integer __n__ such that __v__(__H__) divides 2__n__, we define the minimum degree threshold for bipartite __H__βtiling, Ξ΄~2~(__n, H__), as the smallest integer __k__ such that every bipartite graph __G__ with __n__ vertices in each partition
Let G be a plane bipartite graph which admits a perfect matching and with distinguished faces called holes. Let MG denote the perfect matchings graph: its vertices are the perfect matchings of G, two of them being joined by an edge, if and only if they di er only on an alternating cycle bounding a f
For two integers a and b, we say that a bipartite graph G admits an (a, b)bipartition if G has a bipartition (X, Y ) such that |X| = a and |Y | = b. We say that two bipartite graphs G and H are compatible if, for some integers a and b, both G and H admit (a, b)-bipartitions. In this paper, we prove