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**public sources and our publisher partners.**This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear… Expand

The main purpose of this paper is to report on the state of the art of computing integer hulls and their facets as well as counting lattice points in convex polytopes. Using the polymake system we… Expand

We investigate the complexity of equivalence problems for {∪,∩,−,+,×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer and Meyer (1973). We continue this… Expand

The symmetric groups Sn and the cyclic groups Cn essentially are the only examples for symmetry groups of linear or integer programs that have been discussed in the literature, see e.g. [5] and [6].… Expand

The notion of symmetry is dened in the context of Linear and Integer Programming. Symmetric linear and integer programs are studied from a group theoretical viewpoint. We show that for any linear… Expand

Abstract We consider convex programming problems with integrality constraints that are invariant under a linear symmetry group. To decompose such problems, we introduce the new concept of core… Expand

Given a permutation group acting on coordinates of $${{\mathbb {R}}}^n$$Rn, we consider lattice-free polytopes that are the convex hull of an orbit of one integral vector. The vertices of such… Expand

This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear… Expand