## Abstract An RTD[5,λ; __v__] is a decomposition of the complete symmetric directed multigraph, denoted by λK, into regular tournaments of order 5. In this article we show that an RTD[5,λ; __v__] exists if and only if (__v__−1)λ ≡ 0 (mod 2) and __v__(__v__−1)λ ≡ 0 (mod 10), except for the impossib
Autonomous parts and decomposition of regular tournaments
✍ Scribed by Annie Astié-Vidal; Vincent Dugat
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 591 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Astit-Vidal, A. and V. Dugat, Autonomous parts and decomposition of regular tournaments, Discrete Mathematics 111 (1993) 27-36.
In this article we present the action of a decomposition criterion for regular tournaments, called W-decomposition on tournaments presenting autonomous parts, and especially those that are undecomposable with respect to W-decomposition.
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