Latin cubes of order ≤5

Gary L. Mullen, Robert E. Weber

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)291-297
Number of pages7
JournalDiscrete Mathematics
Issue number3
StatePublished - 1980

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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