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The feasible set of mathematical programs with complementar-ity constraints (MPCC) is considered. We discuss local stability of the feasible set with respect to perturbations (up to first order) of the defining functions. Here, stability refers to homeomorphy in-variance under small perturbations

of c on E form an equivalence which is contained in the type Π_i. The feasible set of H is the set of all k's for which there is a proper coloring using exactly k colors. We prove a simple sufficient and...

Abstract—In this paper, we discuss respectively the relationships between the feasible sets of the Weak product, the Cartesian product and the disjunctive product of uniform bi-hypergraphs and the feasible sets of the factors. Keywords- hypergraph coloring; mixed hypergraph; feasible set; one

A mixed hypergraph H is a triple (V,C, D)whereV is the vertex set and are families of subsets of V , called D-edges.

In this paper we consider a model of group formation where group of individuals may have different feasible sets. We focus on two polar cases, increasing returns, when the set of feasible alternatives increases if a new member joins the group, and decreasing returns, when a new member has

We consider the convex optimization problem minx{f(x) : gj(x) ≤ 0, j = 1,..., m} where f is convex, the feasible set K is convex and Slater’s condition holds, but the functions gj’s are not necessarily convex. We show that for any representation of K that satisfies a mild nondegeneracy assumption

Abstract—We develop a new approach for construction of convex analytically simple regions where the AC power flow equa-tions are guaranteed to have a feasible solutions. Construction of these regions is based on efficient semidefinite programming techniques accelerated via sparsity exploiting

. In this paper, we present a new robust and computationally efficient 2D mesh relaxation method. This feasible set method is a geometric method for finding the convex polygon that represents the region of coordinates that a vertex in a mesh can occupy while the mesh around it remains valid. After the feasible

, but not regarding solution sets as feasible sets, the-value of Tijs [13] is taken as a control parameter. This leads to a new class of problems in the area of 1-convex games. We want to solve the problem for a special case. With this solution a reasonable model for a Joint-Implementation process is developed, where