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- W2963170595 abstract "We investigate the combinatorics and geometry of permutation polytopes associated to cyclic permutation groups, i.e., the convex hulls of cyclic groups of permutation matrices. In the situation that the generator of the group consists of at most two orbits, we can give a complete combinatorial description of the associated permutation polytope. In the case of three orbits the facet structure is already quite complex. For a large class of examples we show that there exist exponentially many facets. Nous ètudions les propriètès combinatoires et gèomètriques des polytopes de permutations pour des groupes cycliques. C'est à dire, donnè un groupe cyclique de matrices de permutations, nous considèrons son enveloppe convexe. Si le gènèrateur du groupe possède un ou deux orbites il y a une dèscription simple du polytope. Par contre, le cas de trois (ou plus) orbites est beaucoup plus compliquè. Pour une classe ample d'examples nous construisons un nombre exponentiel de faces de co-dimension un." @default.
- W2963170595 created "2019-07-30" @default.
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- W2963170595 date "2012-01-01" @default.
- W2963170595 modified "2023-10-18" @default.
- W2963170595 title "Permutation Polytopes of Cyclic Groups" @default.
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- W2963170595 doi "https://doi.org/10.46298/dmtcs.3051" @default.
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