Straight-line representations of maps on the torus and other flat surfaces (Q1923493)
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scientific article; zbMATH DE number 932537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Straight-line representations of maps on the torus and other flat surfaces |
scientific article; zbMATH DE number 932537 |
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Straight-line representations of maps on the torus and other flat surfaces (English)
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7 October 1996
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The cylinder, the Möbius strip, the torus, and the Klein bottle may each be thought of as a surface obtained from a square in the plane by identifying segments on the boundary. The author shows that if a graph can be drawn (embedded) in one of these surfaces, then it can be redrawn such that all edges are geodesics.
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Möbius strip
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torus
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Klein bottle
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surfaces
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geodesics
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