Decomposition of \(K_{13}\) into a torus graph and a graph imbedded in the Klein bottle (Q1193437)
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scientific article; zbMATH DE number 64627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of \(K_{13}\) into a torus graph and a graph imbedded in the Klein bottle |
scientific article; zbMATH DE number 64627 |
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Decomposition of \(K_{13}\) into a torus graph and a graph imbedded in the Klein bottle (English)
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27 September 1992
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In 1959, \textit{G. Ringel} gave a decomposition of \({\mathcal K}_{13}\) into two toroidal graphs. \textit{O. V. Borodin} and \textit{J. Mayer} studied the question whether \({\mathcal K}_{13}\) may be decomposed into a toroidal graph and a graph imbedded in the Klein bottle. In the presented note, there are two independent and different solutions of the problem.
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decomposition
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Klein bottle
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toroidal graph
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Euler characteristics
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