We prove that with the possible exception of total orders every tournament with sharply transitive group of automorphisms is simple.
Embedding tournaments in simple tournaments
β Scribed by J.W. Moon
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 693 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A tournament is simple if the corresp(!nding reEationa1 system is simple in the alge brnlc ~nse. it ir sh~un that cony F~~utnmlent T,, with IT nodes can be embedded in in simple tourrramant r *+ 1 apart from two exceptional types of tournaments which can be embeddecl rn a %impie Fournczmtn t TR+ 1.
π SIMILAR VOLUMES
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A tournament T is an orientation of the complete graph on n vertices. We n w continue the algorithmic study initiated by Hell and Rosenfeld J. Algorithms 4 Ε½ . x 1983 , 303α309 of recognizing various directed trees in tournaments. Hell and Rosenfeld studied the complexity of finding various oriente