Data mining for cones of metrics, quasi-metrics, hemi-metrics and super-metrics
| dc.creator | Deza, M. | |
| dc.creator | Dutour, M. | |
| dc.date | 2002-01-02 | |
| dc.date | 2002-12-27 | |
| dc.date.accessioned | 2026-07-07T04:45:38Z | |
| dc.date.available | 2026-07-07T04:45:38Z | |
| dc.description | Using some adaptations of the adjacency decomposition method \cite{CR} and the program {\it cdd} (~\cite{Fu}), we compute the first computationally difficult cases of convex cones of $m$-ary and oriented analogs of semi-metrics and cut semi-metrics, which were introduced in \cite{DR2} and \cite{DP}. We considered also more general notion of $(m,s)$-super-metric and corresponding cones. The data on related cones - the number of facets, of extreme rays, of their orbits and diameters - are collected in Table \ref{tab:MainLovelyTable}. We study also criterion of adjacency for skeletons of those cones and their duals. Some families of extreme rays and operations on them are also given. | |
| dc.description | 22 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0201011 | |
| dc.identifier | http://arxiv.org/abs/math/0201011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63027 | |
| dc.subject | Metric Geometry | |
| dc.subject | Combinatorics | |
| dc.title | Data mining for cones of metrics, quasi-metrics, hemi-metrics and super-metrics | |
| dc.type | text |