N. Beluhov

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20132026

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math.CO2017

A Proof of Willcocks's Conjecture

Nikolai Beluhov

We give a proof of Willcocks's Conjecture, stating that if $p - q$ and $p + q$ are relatively prime, then there exists a Hamiltonian tour of a $(p, q)$ -leaper on a square chessboar…

math.CO2017

The Second Leaper Theorem

Nikolai Beluhov

A $(p, q)$ -leaper is a fairy chess piece that, from a square $a$ , can move to any of the squares $a + (\pm p, \pm q)$ or $a + (\pm q, \pm p)$ . Let $L$ be a $(p, q)$ -leaper with $p…