2 papers
math.CO2024
On the existence of Hamiltonian cycles in hypercubes
Gabriele Di Pietro, Marco Ripà
Building on the results of our previous work on Euclidean leaper tours, considering all integers and , we study the existence of Hamiltonian cycles in the vertex set $C(…
math.GM2024
Euclidean Tours in Fairy Chess
Gabriele Di Pietro, Marco Ripà
The present paper aims to extend the knight's tour problem for -dimensional grids of the form to other fairy chess leapers. Accordingly, we constructively show the e…