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The Number Of Orientations Having No Fixed Tournament

✍ Scribed by Noga Alon*; Raphael Yuster


Book ID
106167577
Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
255 KB
Volume
26
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Number of 4-kings in bipartite tournamen
✍ K.M. Koh; B.P. Tan πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 433 KB

We show that in any bipartite tournament with no transmitters and no 3-kings, the number of 4-kings is at least eight. All such bipartite tournaments having exactly eight 4-kings are completely characterized.

The number of kings in a multipartite to
✍ K.M. Koh; B.P. Tan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 401 KB

We show that in any n-partite tournament, where n/> 3, with no transmitters and no 3-kings, the number of 4-kings is at least eight. All n-partite tournaments, where n/>3, having eight 4-kings and no 3-kings are completely characterized. This solves the problem proposed in Koh and Tan (accepted).