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Communication Dans Un Congrès Année : 2013

Critical Connectedness of Thin Arithmetical Discrete Planes

Résumé

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.
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Dates et versions

hal-00943827 , version 1 (09-02-2014)

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  • HAL Id : hal-00943827 , version 1

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Valérie Berthé, Damien Jamet, Timo Jolivet, Xavier Provençal. Critical Connectedness of Thin Arithmetical Discrete Planes. International Conference Discrete Geometry for Computer Imagery, Mar 2013, Sevilla, Spain. pp.107-118. ⟨hal-00943827⟩
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