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In this paper we address the problem of computing a minimal representation of the convex hull of the union of k H- polytopes in . Our method applies the reverse search algorithm to a shelling ordering of the facets of the convex hull. Efficient wrapping is ...
In this thesis we focus our attention on the stable set polytope of claw-free graphs. This problem has been open for many years and albeit all the efforts engaged during those last three years, it is still open. This does not mean that no progress has been ...
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combinatorial optimization, polyhedral combinatorics, communication complexity, and statistics. In this paper, we present a study of some 2-level polytopes arisi ...
We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Giles and Trotter [7] by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequali ...
The quest to determine accurately the stability of tearing and resistive interchange modes in two-dimensional toroidal geometry led to the development of the PEST-3 code, which is based on solving the singular, zero-frequency ideal MHD equation in the plas ...
We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Gilles and Trotter (7) by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequal ...
The elementary closure P'; of a polyhedrom P is the intersection of P with all its Gomory-Chvátal cutting planes. P'; is a rational polyhedron provided that P is rational. The Chvátal-Gomory procedure is the iterative application of the elementary closure ...
