Small cones of oriented semi-metrics

Details Small cones of oriented semi-metrics Small cones of oriented semi-metrics

2001-11-13

arxiv.org/abs/math/0111145v3

Mathematics

Metric Geometry

17 pages

Scientific paper

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 QMET_n and OMCUT_n for n=3, 4, 5 (see Table 1) and, partially for
n=6. Some results for general n are also given

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