A note on maximally repeated sub-patterns of a point set
Identifieur interne : 005625 ( Main/Exploration ); précédent : 005624; suivant : 005626A note on maximally repeated sub-patterns of a point set
Auteurs : Véronique Cortier [France] ; Xavier Goaoc [France] ; Mira Lee [Corée du Sud] ; Hyeon-Suk Na [Corée du Sud]Source :
- Discrete mathematics [ 0012-365X ] ; 2006.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
- mix :
Abstract
We answer a question raised by Brass on the number of maximally repeated sub-patterns in a set of n points in Rd, We show that this number, which was conjectured to be polynomial, is in fact Θ(2n/2) in the worst case, regardless of the dimension d.
Url:
Affiliations:
- Corée du Sud, France
- Grand Est, Lorraine (région), Région capitale de Séoul
- Séoul, Villers-les-Nancy, villers-les-Nancy
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Le document en format XML
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<front><div type="abstract" xml:lang="en">We answer a question raised by Brass on the number of maximally repeated sub-patterns in a set of n points in R<sup>d</sup>
, We show that this number, which was conjectured to be polynomial, is in fact Θ(2<sup>n/2</sup>
) in the worst case, regardless of the dimension d.</div>
</front>
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<li>Villers-les-Nancy</li>
<li>villers-les-Nancy</li>
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<name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
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<name sortKey="Na, Hyeon Suk" sort="Na, Hyeon Suk" uniqKey="Na H" first="Hyeon-Suk" last="Na">Hyeon-Suk Na</name>
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