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arXiv · 1711.06792

Enumeration of Some Closed Knight Paths

Stoyan Kapralov·Valentin Bakoev·Kaloyan Kapralov
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Abstract

The aim of the paper is to enumerate all closed knight paths of length n over a square board of size n+1. The closed knight paths of length 4, 6 and 8 are classified up to equivalence. We determine that there are exactly 3 equivalence classes of closed knight paths of length 4, exactly 25 equivalence classes of closed knight paths of length 6 and exactly 478 equivalence classes of closed knight paths of length 8.

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Stoyan Kapralov, Valentin Bakoev, Kaloyan Kapralov. 2017-11-18. Enumeration of Some Closed Knight Paths. https://arxiv.org/abs/1711.06792

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