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Vertex pancyclic in-tournaments

✍ 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

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πŸ“œ SIMILAR VOLUMES


Diregularc-partite tournaments are verte
✍ Yeo, Anders πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 373 KB

## 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.

Pancyclic arcs and connectivity in tourn
✍ F. Havet πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 226 KB

## Abstract A __tournament__ is an orientation of the edges of a complete graph. An arc is __pancyclic__ in a tournament __T__ if it is contained in a cycle of length __l__, for every 3 ≀ __l__ ≀ |T|. Let __p__(__T__) denote the number of pancyclic arcs in a tournament __T__. In 4, Moon showed that

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

Vertex-pancyclicity of hypertournaments
✍ Jed Yang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 109 KB

## Abstract A hypertournament or a __k__‐tournament, on __n__ vertices, 2≀__k__≀__n__, is a pair __T__=(__V, E__), where the vertex set __V__ is a set of size __n__ and the edge set __E__ is the collection of all possible subsets of size __k__ of __V__, called the edges, each taken in one of its __

Characterizations of vertex pancyclic an
✍ G. Gutin πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 527 KB

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