the vertices of a digraph by cycles of prescribed length, Discrete Mathematics 87 (
The stochastic weighted complexity of a group covering of a digraph
β Scribed by Iwao Sato
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 138 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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## Abstract We study a generalization of the weighted set covering problem where every element needs to be covered multiple times. When no set contains more than two elements, we can solve the problem in polynomial time by solving a corresponding weighted perfect __b__βmatching problem. In general,
The Gallai Milgram theorem states that every directed graph D is spanned by :(D) disjoint directed paths, where :(D) is the size of a largest stable set of D. When :(D)>1 and D is strongly connected, it has been conjectured by Las Vergnas that D is spanned by an arborescence with :(D)&1 leaves. The