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Small cones of oriented semi-metrics

M. Deza·M. Dutour·E. Panteleeva
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Abstract

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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M. Deza, M. Dutour, E. Panteleeva. 2002-04-07. Small cones of oriented semi-metrics. https://arxiv.org/abs/math/0111145

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