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Critical Facets of the Stable Set Polytope

✍ Scribed by László Lipták; László Lovász


Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
355 KB
Volume
21
Category
Article
ISSN
0209-9683

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Stability critical graphs and ranks face
✍ E.C. Sewell; L.E. Trotter Jr. 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 616 KB

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