Combinatorial equivalence of Chromatic Scheduling Polytopes

Point-to-Multipoint systems are one kind of radio systems supplying wireless access to voice/data communication networks. Capacity constraints typically force the reuse of frequencies but, on the other hand, no interference must be caused thereby. This leads to the bandwidth allocation problem, a special case of so-called chromatic scheduling problems. Both problems are NP-Hard, and there exist no polynomial time algorithms with a guaranteed quality. In order to apply cutting plane methods to this problem, the associated chromatic scheduling polytopes must be studied. These polytopes have interesting theoretical properties. In this work, we present a characterization of the extreme points of chromatic scheduling polytopes, which enables to prove combinatorial equivalence properties.