The One-Skeleton of Multilinear Polytopes and Their Standard Relaxations
Edge-following methods, such as the simplex method, move along edges of a polytope. Their behavior depends on which vertices are adjacent and on the diameter. We study both for the two polytopes of binary polynomial optimization: the multilinear polytope and its standard linear relaxation. For quadratic polynomials, Padberg showed that two integral vertices are adjacent … Read more