It is easy to see that there is no closed knight's tour when n is odd since such a board has one more white square than black, or vice versa, and since the colours of the squares visited on a knight's tour must alternate.
Bounds on the number of knight's tours
β Scribed by Olaf Kyek; Ian Parberry; Ingo Wegener
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 726 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
β¦ Synopsis
Knight's tours are a fascinating subject. New lower bounds on the number of knight's tours and structured knight's tours on n x IZ chessboards and even n are presented. For the natural special case n = 8 a new upper bound is proved.
π SIMILAR VOLUMES
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