Induced matchings in intersection graphs
β Scribed by Kathie Cameron
- Book ID
- 108113378
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 208 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We provide a formula for the number of edges of a maximum induced matching in a graph. As applications, we give some structural properties of (k + 1 )K2-free graphs, construct all 2K2-free graphs, and count the number of labeled 2K2-free connected bipartite graphs.
## 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 ErdΓΆs and NeΕ‘etΕil: For each __d__ β₯ 3, the edge set of a graph of maximum de