We obtain the asymptotic number of labeled trounaments with a given score sequence in the case where each score is nร2+O(n 3ร4+= ) for sufficiently small =>0. Some consequences for the score sequences of random tournaments are also noted. The method used is integration in n complex dimensions.
Score sequences: Lexicographic enumeration and tournament construction
โ Scribed by S.V. Gervacio
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 289 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
This paper studies the probability that a random tournament with specified score sequence contains a specified subgraph. The exact asymptotic value is found in the case that the scores are not too far from regular and the subgraph is not too large. An ndimensional saddle-point method is used. As a s
## Abstract A tournament is an oriented complete graph, and one containing no directed cycles is called __transitive__. A tournament __T__=(__V, A__) is called __m__โ__partition transitive__ if there is a partition such that the subtournaments induced by each __X__~__i__~ are all transitive, an