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.
Maximum matchings in general graphs through randomization
β Scribed by Michael O Rabin; Vijay V Vazirani
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 679 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the average performance of a simple greedy algorithm for finding a matching in a sparse random graph G , where c ) 0 is constant. The algorithm was first n, c r n w proposed by Karp and Sipser Proceedings of the Twenty-Second Annual IEEE Symposium on x Foundations of Computing, 1981, pp. 3
A maximum stable set in a graph G is a stable set of maximum size. S is a local maximum stable set of G, and we write S β (G), if S is a maximum stable set of the subgraph spanned by S βͺ N (S), where N (S) is the neighborhood of S. A matching M is uniquely restricted if its saturated vertices induce