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Spanning a strong digraph byαcircuits: A proof of Gallai’s conjecture

✍ Scribed by Stéphane Bessy; Stéphan Thomassé


Book ID
106167636
Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
164 KB
Volume
27
Category
Article
ISSN
0209-9683

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📜 SIMILAR VOLUMES


Covering a Strong Digraph by α−1 Disjoin
✍ Stéphan Thomassé 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 83 KB

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