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Polyhedral representation conversion up to symmetries (CROSBI ID 38078)

Prilog u knjizi | izvorni znanstveni rad

Bremner, David ; Dutour Sikirić, Mathieu ; Schuermann, Achill Polyhedral representation conversion up to symmetries // Polyhedral Computation / Avis, David ; Bremner, David ; Deza, Antoine (ur.). Providence (RI): American Mathematical Society (AMS), 2009. str. 45-71

Podaci o odgovornosti

Bremner, David ; Dutour Sikirić, Mathieu ; Schuermann, Achill

engleski

Polyhedral representation conversion up to symmetries

We give a short survey on computational techniques which can be used to solve the representation conversion problem for polyhedra up to symmetries. We in particular discuss decomposition methods, which reduce the problem to a number of lower dimensional subproblems. These methods have been successfully used by different authors in special contexts. Moreover, we sketch an incremental method, which is a generalization of Fourier-Motzkin elimination, and we give some ideas how symmetry can be exploited using pivots.

group ; polyhedra ; dual description ; algorithm

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Podaci o prilogu

45-71.

objavljeno

Podaci o knjizi

Polyhedral Computation

Avis, David ; Bremner, David ; Deza, Antoine

Providence (RI): American Mathematical Society (AMS)

2009.

978-0-9218-4633-9

Povezanost rada

Računarstvo