English

Random Latin squares and Sudoku designs generation

Computation 2013-05-17 v1

Abstract

Uniform random generation of Latin squares is a classical problem. In this paper we prove that both Latin squares and Sudoku designs are maximum cliques of properly defined graphs. We have developed a simple algorithm for uniform random sampling of Latin squares and Sudoku designs. It makes use of recent tools for graph analysis. The corresponding SAS code is annexed.

Cite

@article{arxiv.1305.3697,
  title  = {Random Latin squares and Sudoku designs generation},
  author = {Roberto Fontana},
  journal= {arXiv preprint arXiv:1305.3697},
  year   = {2013}
}
R2 v1 2026-06-22T00:17:24.548Z