Daniel Berend

Senior Academic

On the number of Sudoku squares

We provide an upper bound on the number of n2×n2 Sudoku squares, and explain intuitively why there is reason to believe that the bound is tight up to a multiplicative factor of a much smaller order of magnitude. A similar bound is established for Sudoku squares with rectangular regions.

Publication language English
Pages 3241-3248
Journal Discrete Mathematics
Volume 341
Issue number 11
Publication status Published - 01.11.2018

Keywords

Latin squares
Permanents
Sudoku squares
Upper bounds on permanents

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Access to Document
10.1016/j.disc.2018.08.005
Other files and links
Link to publication in Scopus