Facets with fixed defect of the stable set polytope
نویسندگان
چکیده
The stable set polytope of a graph is the convex hull of the 01 vectors corresponding to stable sets of vertices. To any nontrivial facet ∑n i=1 aixi ≤ b of this polytope we associate an integer δ, called the defect of the facet, by δ = ∑n i=1 ai − 2b. We show that for any fixed δ there is a finite collection of graphs (called “basis”) such that any graph with a facet of defect δ contains a subgraph which can be obtained from one of the graphs in the basis by a simple subdivision operation.
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ورودعنوان ژورنال:
- Math. Program.
دوره 88 شماره
صفحات -
تاریخ انتشار 2000