So Hirata

collaborators

2 papers

math.CO2024

Graph-theoretical estimates of the diameters of the Rubik's Cube groups

So Hirata

A strict lower bound for the diameter of a symmetric graph is proposed, which is calculable with the order $n$ and other local parameters of the graph such as the degree $k\,(\geq…

cs.DM2024

Probabilistic estimates of the diameters of the Rubik's Cube groups

So Hirata

The diameter of the Cayley graph of the Rubik's Cube group is the fewest number of turns needed to solve the Cube from the hardest initial configuration. For the 2 $\times$ 2 $\times$ …