English

A Necessary Solution Condition for Sudoku

Combinatorics 2012-10-24 v1 Optimization and Control

Abstract

We develop a new discrete mathematical model which includes the classical Sudoku puzzle, Latin Squares and gerechte designs. This problem is described by integer equations and a special type of inequality constraint. We consider solutions of this generalized problem and derive a necessary condition on these solutions. The results are illustrated with examples.

Keywords

Cite

@article{arxiv.1210.6343,
  title  = {A Necessary Solution Condition for Sudoku},
  author = {Thomas Fischer},
  journal= {arXiv preprint arXiv:1210.6343},
  year   = {2012}
}

Comments

16 pages, 2 figures

R2 v1 2026-06-21T22:26:41.134Z