Small Cones of Oriented Semi-Metrics

Michel Marie Deza, Mathieu Dutour Sikirić, E. I. Panteleeva · American Journal of Mathematical and Management Sciences · 2002

SYNOPTIC ABSTRACTWe consider polyhedral convex 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 cones QMETn and OMCUTn for n = 3,4,5 (Table 1) and, partially, for n = 6. Some results for general n are also given.

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