A Proof of Willcocks's Conjecture

Abstract

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 chessboard of side $2(p+q)$. The conjecture was formulated by T. H. Willcocks in 1976 and has been an open problem since.

arXiv comment25 pages, 23 figures