## In [Volkmann, to appear] it is conjectured that all diregular c-partite tournaments, with c β₯ 4, are pancyclic. In this article, we show that all diregular c-partite tournaments, with c β₯ 5, are in fact vertex-pancyclic.
Vertex pancyclic in-tournaments
β Scribed by Meike Tewes; Lutz Volkmann
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 216 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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## Abstract An arc leaving a vertex x in a digraph is called an outβarc of x. Thomassen (J Combin Theory Ser B 28 (1980), 142β163) proved that every strong tournament contains a vertex whose every outβarc is contained in a Hamiltonian cycle. In 2000, Yao et al. (Discrete Appl Math 99 (2000), 245β24
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A digraph obtained by replacing each edge of a complete multipartite graph by an arc or a pair of mutually opposite arcs with the same end vertices is called a complete multipartite graph. Such a digraph D is called ordinary if for any pair X, Y of its partite sets the set of arcs with both end vert