Graphs of spheres and tori (Q1322187)

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scientific article; zbMATH DE number 562595
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Graphs of spheres and tori
scientific article; zbMATH DE number 562595

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    Graphs of spheres and tori (English)
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    5 May 1994
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    The author describes how the Euler characteristic of a graph can be computed from data for the neighborhoods of its vertices. This method is illustrated for certain graphs of the sphere and the torus. The formula for the Euler characteristic of such graphs is also used to obtain information about the number of elements (vertices, edges, tiles) in a tiling of the sphere or the torus.
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    Euler characteristic
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    sphere
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    torus
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    tiles
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    tiling
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