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  1. Home > Articles & Issues >
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  3. On Minimal Strings C ...
Conference paper

On Minimal Strings Containing the Elements of S_n by Decimation

Robert Erra (1), Nik Lygeros (2), Nigel Stewart (3)
(1) Ecole Supérieure d'Informatique Electronique Automatique [Paris]
(2) Institut Girard Desargues
(3) Royal Melbourne Institute of Technology University
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Imported on
November 21, 2016
Published on
December 31, 2000
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
Proceedings
DOI
10.46298/dmtcs.2289
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https://about.hal.science/hal-authorisation-v1
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On Minimal Strings Containing the Elements of S_n by Decimation

Robert Erra (1), Nik Lygeros (2), Nigel Stewart (3)
(1) Ecole Supérieure d'Informatique Electronique Automatique [Paris]
(2) Institut Girard Desargues
(3) Royal Melbourne Institute of Technology University
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
  • [INFO]Computer Science [cs]
  • [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • Symmetric Group
  • Permutations
  • q-analogs
  • Hyperplane Arrangements
Cited by

Source: OpenCitations

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    DOI : 10.1111/j.1541-0420.2011.01617.x
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