## 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.
Hamiltonian tournaments with the least number of 3-cycles
β Scribed by M. Burzio; D. C. Demaria
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 416 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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