A bound for the number of tournaments with specified scores
โ Scribed by Peter M Gibson
- Book ID
- 107884198
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 222 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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 The number of tournaments __T~n~__ on __n__ nodes with a unique spanning cycle is the (2__n__โ6)th Fibonacci number when __n__ โฅ 4. Another proof of this result is given based on a recursive construction of these tournaments.
We give a recursive function in order to calculate the number of all nonisomorphic bipartite tournaments containing an unique hamiltonian cycle. Using this result we determine the number of all nonisomorphic bipartite tournaments that admit an unique factor isomorphic to a given l-diregular bipartit