Nonextendible Latin cuboids

Darryn Edward Bryant, Nicholas Cavenagh, Barbara Marguerite Maenhaut, Kyle Pula, Ian Murray Wanless

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)


We show that for all integers m >= 4 there exists a 2m x 2m x m latin cuboid that cannot be completed to a 2mx2mx2m latin cube. We also show that for all even m > 2 there exists a (2m-1) x (2m-1) x (m-1) latin cuboid that cannot be extended to any (2m-1) x (2m-1) x m latin cuboid.
Original languageEnglish
Pages (from-to)239 - 249
Number of pages11
JournalSIAM Journal on Discrete Mathematics
Issue number1
Publication statusPublished - 2012

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