Small cones of oriented semi-metrics

الأصل · EN

We consider polyhedral cones, associated with quasi-semi-metrics (oriented distances), in particular, with oriented multi-cuts, on n points. We computed the number of facets and of extreme rays, their adjacencies, and incidences of the cones QMETₙ and OMCUTₙ for n=3, 4, 5 (see Table 1) and, partially for n=6. Some results for general n are also given