## Abstract In this paper we introduce a new class of directed graphs called locally semicomplete digraphs. These are defined to be those digraphs for which the following holds: for every vertex __x__ the vertices dominated by __x__ induce a semicomplete digraph and the vertices that dominate __x__
A generalization of rotational tournaments
β Scribed by E. Barbut; A. Bialostocki
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 623 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
The notions of rotational tournament and the associated symbol set are generalized to r-tournaments. It is shown that a necessary and sufficient condition for the existence of a rotational r-tournament on n vertices is (n, r) = 1. A scheme to generate rotational r'tournaments is given, along with some examples.
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