The isometries of the cut, metric and hypermetric cones.

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The isometries of the cut, metric and hypermetric cones.

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dc.contributor.author Deza, Antoine.
dc.contributor.author Goldengorin, Boris.
dc.contributor.author Pasechnik, Dmitrii V.
dc.date.accessioned 2011-07-06T02:50:13Z
dc.date.available 2011-07-06T02:50:13Z
dc.date.copyright 2006
dc.date.issued 2011-07-06T02:50:13Z
dc.identifier.citation Deza, A., Goldengorin, B., & Pasechnik, D. V. (2006). The isometries of the cut, metric and hypermetric cones. Journal of Algebraic Combinatorics, 23, 197-203.
dc.identifier.uri http://hdl.handle.net/10220/6867
dc.description.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.
dc.format.extent 8 p.
dc.language.iso en
dc.relation.ispartofseries Journal of algebraic combinatorics
dc.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.
dc.subject DRNTU::Science::Mathematics::Geometry.
dc.title The isometries of the cut, metric and hypermetric cones.
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1007/s10801-006-6924-6
dc.description.version Accepted version

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