An orientation theorem for graphs (Q1338310)
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scientific article; zbMATH DE number 696907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An orientation theorem for graphs |
scientific article; zbMATH DE number 696907 |
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An orientation theorem for graphs (English)
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2 March 1995
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We characterize the class of graphs in which the edges can be oriented in such a way that going along any circuit in the graph, the number of forward edges minus the number of backward edges is equal to 0, 1, or \(- 1\). The result follows by applying Tutte's characterization of regular matroids to a certain binary matroid associated to a graph.
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orientation
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Tutte's characterization
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regular matroids
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