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Episciences
Article . 2001
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Discrete Mathematics & Theoretical Computer Science
Article . 2001 . Peer-reviewed
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Discrete Mathematics & Theoretical Computer Science
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Conference object . 2001
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Discrete Mathematics & Theoretical Computer Science
Article . 2001
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https://dx.doi.org/10.46298/dm...
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On Minimal Strings Containing the Elements of S_n by Decimation

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2001 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume DMTCS Proceedings vol. AA,... (eissn: 1365-8050, Copyright policy )
Authors: Robert Erra; Nik Lygeros; Nigel Stewart;

doi: 10.46298/dmtcs.2289

On Minimal Strings Containing the Elements of S_n by Decimation

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.

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Keywords

Symmetric Group, permutations, [info] computer science [cs], q-analogs, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Permutations, [INFO] Computer Science [cs], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], Hyperplane Arrangements, symmetric group, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], [INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG], hyperplane arrangements, [info.info-cg] computer science [cs]/computational geometry [cs.cg], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], QA1-939, [INFO]Computer Science [cs], Mathematics, [math.math-co] mathematics [math]/combinatorics [math.co]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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Published in a Diamond OA journal