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Each 3-strong Tournament Contains 3 Vertices Whose Out-arcs Are Pancyclic

✍ Scribed by Jinfeng Feng


Book ID
106047784
Publisher
Springer Japan
Year
2009
Tongue
English
Weight
137 KB
Volume
25
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES


A local tournament contains a vertex who
✍ Wei Meng; Shengjia Li; Yubao Guo; Gaokui Xu πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 170 KB

## Abstract An arc leaving a vertex x in a digraph is called an out‐arc of x. Thomassen (J Combin Theory Ser B 28 (1980), 142–163) proved that every strong tournament contains a vertex whose every out‐arc is contained in a Hamiltonian cycle. In 2000, Yao et al. (Discrete Appl Math 99 (2000), 245–24

The structure of 4-strong tournaments co
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## Abstract Yao et al. (Discrete Appl Math 99 (2000), 245–249) proved that every strong tournament contains a vertex __u__ such that every out‐arc of __u__ is pancyclic and conjectured that every __k__‐strong tournament contains __k__ such vertices. At present, it is known that this conjecture is t