Critical connectedness of thin arithmetical discrete planes

Abstract : The critical thickness of an arithmetical discrete plane refers to the infimum thickness that preserves its $2$-connectedness. This infimum thickness can be computed thanks to a multidimensional continued fraction algorithm, namely the fully subtractive algorithm. We provide a characterization of the discrete planes with critical thickness that contain the origin and that are $2$-connected.
Type de document :
Pré-publication, Document de travail
15 pages. 2013
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https://hal.inria.fr/hal-00966947
Contributeur : Xavier Provençal <>
Soumis le : jeudi 27 mars 2014 - 15:54:45
Dernière modification le : jeudi 15 novembre 2018 - 20:26:56

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  • HAL Id : hal-00966947, version 1
  • ARXIV : 1312.7820

Citation

Valérie Berthé, Damien Jamet, Timo Jolivet, Xavier Provençal. Critical connectedness of thin arithmetical discrete planes. 15 pages. 2013. 〈hal-00966947〉

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