On Minimal Strings Containing the Elements of S_n by Decimation

Robert Erra 1 Nik Lygeros 2 Nigel Stewart 3
1 ESIEA - Ecole Supérieure d'Informatique Electronique Automatique [Paris]
2 IGD - Institut Girard Desargues
3 RMIT University [Melbourne]
Abstract : The permutations by decimation problem is thought to be applicable to computer graphics, and raises interesting theoretical questions in combinatory theory.We present the results of some theoretical and practical investigation into this problem.We show that sequences of this form are $O(n^2)$ in length, but finding optimal solutions can be difficult.
Keywords : Permutations q-analogs Hyperplane Arrangements Symmetric Group
Type de document :
Communication dans un congrès
Cori, Robert and Mazoyer, Jacques and Morvan, Michel and Mosseri, Rémy. Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, 2001, Paris, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), pp.165-176, 2001, DMTCS Proceedings
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Robert Erra, Nik Lygeros, Nigel Stewart. On Minimal Strings Containing the Elements of S_n by Decimation. Cori, Robert and Mazoyer, Jacques and Morvan, Michel and Mosseri, Rémy. Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, 2001, Paris, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), pp.165-176, 2001, DMTCS Proceedings. 〈hal-01182969〉

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