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A Chvátal-Erdös condition for (1,1)-factors in digraphs

✍ Scribed by Bill Jackson; Oscat Ordaz


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
171 KB
Volume
57
Category
Article
ISSN
0012-365X

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✦ Synopsis


We show that if the independence number of a k-connected digraph D is at most k, then D has a spanning subgraph which consists of a union of vertex-disjoint directed circuits. As a corollary we determine the minimum number of edges required in a k-connected oriented graph to ensure the existence of such a subgraph.


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