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- W2614893014 abstract "A graph theoretical model of a continuous space is a graph with the same topological structure as its continuous counterpart. A digital closed n-dimensional manifold with a locally spherical topology is a graph theoretic model for a continuous closed n-dimensional manifold. This paper defines and studies properties of a new class of digital n-dimensional spaces with a locally non-spherical topology. We prove that such spaces have the dimension nâ¥3. We define and investigate properties of digital 3- and 5-dimensional closed surfaces with a local toroidal and projective plane topology. These spaces have no direct continuous counterparts among n-dimensional manifolds in classical topology. These results arise questions like what physical, chemical or biological structures can be described by digital n-dimensional surfaces with a locally non-spherical topology." @default.
- W2614893014 created "2017-05-26" @default.
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- W2614893014 date "2017-08-26" @default.
- W2614893014 modified "2023-09-26" @default.
- W2614893014 title "Graph Theoretical Models of Discrete Spaces with Locally Non-spherical Topology" @default.
- W2614893014 doi "https://doi.org/10.12691/amp-5-2-3" @default.
- W2614893014 hasPublicationYear "2017" @default.
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