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The number of vertices whose out-arcs are pancyclic in a 2-strong tournament

✍ Scribed by Ruijuan Li; Shengjia Li; Jinfeng Feng


Book ID
108112697
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
133 KB
Volume
156
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


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## Abstract A __tournament__ is a digraph, where there is precisely one arc between every pair of distinct vertices. An arc is __pancyclic__ in a digraph __D__, if it belongs to a cycle of length __l__, for all 3 ≀ __l__ ≀ |__V__ (__D__) |. Let __p__(__D__) denote the number of pancyclic arcs in a

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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