## Abstract We characterize the family of hamiltonian tournaments with the least number of 3βcycles, studying their structure and their score sequence. Furthermore, we obtain the number of nonisomorphic tournaments of this family.
The number of tournaments with a unique spanning cycle
β Scribed by J. W. Moon
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 312 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The number of tournaments T~n~ on n nodes with a unique spanning cycle is the (2__n__β6)th Fibonacci number when n β₯ 4. Another proof of this result is given based on a recursive construction of these tournaments.
π SIMILAR VOLUMES
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