On Cycles Containing a Given Arc in Regular Multipartite Tournaments

Authors
Pan, Lin Qiang Zhang, Ke Min
Citation
Pan, Lin Qiang et Zhang, Ke Min, On Cycles Containing a Given Arc in Regular Multipartite Tournaments, Acta mathematica Sinica. English series (Print) , 20(2), 2004, pp. 379-384
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
2
Year of publication
2004
Pages
379 - 384
Database
ACNP
SICI code
Abstract
In this paper we prove that if T is a regular n-partite tournament with n 4, then each arc of T lies on a cycle whose vertices are from exactly k partite sets for k = 4, 5, . . . ,n. Our result, in a sense, generalizes a theorem due to Alspach.