Critical Connectedness of Thin Arithmetical Discrete Planes
Identifieur interne : 001611 ( Main/Exploration ); précédent : 001610; suivant : 001612Critical Connectedness of Thin Arithmetical Discrete Planes
Auteurs : Valérie Berthé [France] ; Damien Jamet [France] ; Timo Jolivet [France, Finlande] ; Xavier Provençal [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
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.
Url:
DOI: 10.1007/978-3-642-37067-0_10
Affiliations:
- Finlande, France
- Auvergne-Rhône-Alpes, Finlande occidentale, Grand Est, Lorraine (région), Rhône-Alpes
- Chambéry, Grenoble, Metz, Nancy, Turku
- Université Savoie Mont Blanc, Université de Grenoble, Université de Lorraine, Université de Turku
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Le document en format XML
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<front><div type="abstract" xml:lang="en">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.</div>
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