On directed graphs with an independent covering set (Q1264153)

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scientific article; zbMATH DE number 4128835
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English
On directed graphs with an independent covering set
scientific article; zbMATH DE number 4128835

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    On directed graphs with an independent covering set (English)
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    1989
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    It is shown that if a directed graph contains no odd directed cycle and, for all but finitely many nodes, either the in-degrees are finite or the out-degrees are at most one, then the directed graph contains an independent covering set. An example is given to show that a countable directed graph having no directed cycles, each of its nodes has at most out-degree two, has no independent covering set.
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    digraph
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    directed graph
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    independent covering set
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    directed cycles
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    degree
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