In one of fundamental works in combinatorial optimization, Edmonds gave a complete linear description of the matching polytope. Matchings in a graph are equivalent to stable sets in its line graph. Also the neighborhood of any vertex in a line graph partitions into two cliques: graphs with this latt
On the facets of the stable set polytope of quasi-line graphs
β Scribed by Gautier Stauffer
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 237 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0167-6377
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π SIMILAR VOLUMES
Rank inequalities due to stability critical (u-critical) graphs are used to develop a finite nested sequence of linear relaxations of the stable set polytope, the strongest of which provides an integral max-min relation: In a simple graph, the maximum size of a stable set is equal to the minimum (we
We prove two new upper bounds on the number of facets that a d-dimensional 0/1-polytope can have. The first one is 2(d -1)!+2(d -1) (which is the best one currently known for small dimensions), while the second one of O((d -2)!) is the best known bound for large dimensions.