Let G be a bipartite graph in which every edge belongs to some perfect matching, and let D be a subset of its edge set. It is shown that M fl D has the same parity for every perfect matching M if and only if D is a cut, and equivalently if and only. if (G, D) is a balanced signed-graph. This gives n
Induced matchings in bipartite graphs
✍ Scribed by R.J. Faudree; A. Gyárfas; R.H. Schelp; Zs. Tuza
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 454 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper, we show that the edge set of a cubic graph can always be partitioned into 10 subsets, each of which induces a matching in the graph. This result is a special case of a general conjecture made by Erdös and Nešetřil: For each __d__ ≥ 3, the edge set of a graph of maximum de
## Abstract Given a fixed bipartite graph __H__, we study the asymptotic speed of growth of the number of bipartite graphs on __n__ vertices which do not contain an induced copy of __H__. Whenever __H__ contains either a cycle or the bipartite complement of a cycle, the speed of growth is ${{2}}^{\