The isometries of the cut, metric and hypermetric cones
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...
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Main Authors: | Deza, Antoine., Goldengorin, Boris., Pasechnik, Dmitrii V. |
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其他作者: | School of Physical and Mathematical Sciences |
格式: | Article |
語言: | English |
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2011
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在線閱讀: | https://hdl.handle.net/10356/92362 http://hdl.handle.net/10220/6867 |
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機構: | Nanyang Technological University |
語言: | English |
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