Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/92362| Title: | The isometries of the cut, metric and hypermetric cones | Authors: | Deza, Antoine. Goldengorin, Boris. Pasechnik, Dmitrii V. |
Keywords: | DRNTU::Science::Mathematics::Geometry | Issue Date: | 2006 | Source: | Deza, A., Goldengorin, B., & Pasechnik, D. V. (2006). The isometries of the cut, metric and hypermetric cones. Journal of Algebraic Combinatorics, 23, 197-203. | Series/Report no.: | Journal of algebraic combinatorics | Abstract: | We show that the symmetry groups of the cut cone Cutn and the metric cone Metn both consist of the isometries induced by the permutations on {1, . . . , n}; that is, Is(Cutn) = Is(Metn) ≃ Sym(n) for n ≥ 5. For n = 4 we have Is(Cut4) = Is(Met4) ≃ Sym(3) × Sym(4). This result can be extended to cones containing the cuts as extreme rays and for which the triangle inequalities are facet-inducing. For instance, Is(Hypn) ≃ Sym(n) for n ≥ 5, where Hypn denotes the hypermetric cone. | URI: | https://hdl.handle.net/10356/92362 http://hdl.handle.net/10220/6867 |
DOI: | http://dx.doi.org/10.1007/s10801-006-6924-6 | Rights: | © 2006 Springer Science+Business Media. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Algebraic Combinatorics, Springer Science+Business Media. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at the following DOI: http://dx.doi.org/10.1007/s10801-006-6924-6. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 13. The isometries of the cut.pdf | 179.94 kB | Adobe PDF |  View/Open |
Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.