4 papers
math.CO2026
On the existence of Hamiltonian cycles in hypercubes
Gabriele Di Pietro, Marco RipÃ
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.GM2026
On the relation between perfect powers and tetration frozen digits
Marco RipÃ
This paper provides a link between integer exponentiation and integer tetration since it is devoted to introducing some peculiar sets of perfect powers characterized by any given v…
math.GM2025
Graham's number stable digits: An exact solution
Marco RipÃ
In the decimal numeral system, we prove that the well-known Graham's number, (i.e., ( times)), and any base tetration who…
math.GM2025
Minimum-Link Covering Trails for any Hypercubic Lattice
Marco RipÃ
In 1994, Kranakis et al. published a conjecture about the minimum link-length of every rectilinear covering path for the -dimensional grid $P(n,k) := \{0,1, \dots, n-1\} \times…