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Critical Connectedness of Thin Arithmetical Discrete Planes

Identifieur interne : 001611 ( Main/Exploration ); précédent : 001610; suivant : 001612

Critical Connectedness of Thin Arithmetical Discrete Planes

Auteurs : Valérie Berthé [France] ; Damien Jamet [France] ; Timo Jolivet [France, Finlande] ; Xavier Provençal [France]

Source :

RBID : ISTEX:8130D349B3753A81BB0124E10D1F255B3B025CC4

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:


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