A multilevel bilinear programming algorithm for the vertex separator problem
نویسندگان
چکیده
منابع مشابه
A Multilevel Bilinear Programming Algorithm For the Vertex Separator Problem
The Vertex Separator Problem for a graph is to find the smallest collection of vertices whose removal breaks the graph into two disconnected subsets that satisfy specified size constraints. The Vertex Separator Problem was formulated in the paper 10.1016/j.ejor.2014.05.042 as a continuous (non-concave/non-convex) bilinear quadratic program. In this paper, we develop a more general continuous bi...
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15 صفحه اولA Continuous Quadratic Programming Formulation of the Vertex Separator Problem
The Vertex Separator Problem (VSP) for a graph is to find the smallest collection of vertices whose removal breaks the graph into two disconnected subsets of roughly equal size. In a recent paper (Optimality Conditions For Maximizing a Function Over a Polyhedron, Mathematical Programming, 2013, doi: 10.1007/s10107-013-0644-1), the authors announced a new continuous bilinear quadratic programmin...
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Given G = (V,E) a connected undirected graph and a positive integer β(|V |), the vertex sperator problem is to find a partition of V into noempty three classes A, B, C such that there is no edge between A and B, max{|A|, |B|} ≤ β(|V |) and |C| is minimum. In this paper we consider the vertex separator problem from a polyhedral point of view. We introduce new classes of valid inequalities for th...
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ژورنال
عنوان ژورنال: Computational Optimization and Applications
سال: 2017
ISSN: 0926-6003,1573-2894
DOI: 10.1007/s10589-017-9945-2