If cn represents the number of reduced Latin cubes of order n then c1 = c2 = c3 = 1, c4 = 64 and c5 = 40246. Moreover if λn and λ′n denote the number of disjoint isomorphism and isotopy classes of reduced Latin cubes of order n respectively, then λn = λ′n = 1 for n ≤ 3 while λ4 = 19, λ′4 = 12, and λ5 = 1860.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics