Polytopes of linear programming relaxation for triangulations
نویسندگان
چکیده
Universal polytope is the polytope de ned as the convex hull of the characteristic vectors of all triangulations for a given point con guration. The equality system de ning this polytope was found, but the system of inequalities are not known yet. Larger polytopes, corresponding to linear programming relaxations, have been used in practice. We show that (1) the universal polytope, the polytope of relaxation for (2) clique, (3) cocircuit and (4) chamber conditions have inclusion relation in this order. Examples of point con gurations for which these polytopes coincide and di er are given. We also discuss brie y on the di culty of giving inequalities for the universal polytope.
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