Degree constrained orientations in countable graphs (Q1010857)
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scientific article; zbMATH DE number 5541027
| Language | Label | Description | Also known as |
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| English | Degree constrained orientations in countable graphs |
scientific article; zbMATH DE number 5541027 |
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Degree constrained orientations in countable graphs (English)
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7 April 2009
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Summary: Degree constrained orientations are orientations of an (undirected) graph where the in-degree function satisfies given lower and upper bounds. For finite graphs, \textit{A. Frank} and \textit{A. Gyárfás} [``How to orient the edges of a graph?'', Combinatorics, Keszthely 1976, Colloq. Math. Soc. Janos Bolyai 18, 353--364 (1978; Zbl 0389.05035)] gave a necessary and sufficient condition for the existence of such an orientation. We extend their result to countable graphs.
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degree constrained orientations
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indegree function
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lower bound
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upper bound
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countable graphs
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