Maximum induced matchings in graphs
β Scribed by Jiping Liu; Huishan Zhou
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 218 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
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.
π 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 ErdΓΆs and NeΕ‘etΕil: For each __d__ β₯ 3, the edge set of a graph of maximum de
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