On completion of latin hypercuboids of order 4

Vladimir N. Potapov

On completion of latin hypercuboids of order 4

Combinatorics 2011-01-20 v1 Group Theory

Authors: Vladimir N. Potapov

Abstract

A latin hypercuboid of order $N$ is an $N\times...\times N\times k$ array filled with symbols from the set $\{0,...,N-1\}$ in such a way that every symbol occurs at most once in every line. If $k=N$ , such an array is a latin hypercube. We prove that any latin hypercuboid of order 4 is completable to a latin hypercube. Keywords: latin hypercube, n-ary quasigroup

Keywords

latin hypercuboid latin hypercube n-ary quasigroup completable combinatorics

Cite

@article{arxiv.1101.3632,
  title  = {On completion of latin hypercuboids of order 4},
  author = {Vladimir N. Potapov},
  journal= {arXiv preprint arXiv:1101.3632},
  year   = {2011}
}

Comments

5 pages

Related papers

View all related →