The Structure of Reduced Sudoku Grids and the Sudoku Symmetry Group

Joint Authors

Roach, Paul A.
Perkins, Stephanie
Jones, Siân K.

Source

International Journal of Combinatorics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-07

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

A Sudoku grid is a constrained Latin square.

In this paper a reduced Sudoku grid is described, the properties of which differ, through necessity, from that of a reduced Latin square.

The Sudoku symmetry group is presented and applied to determine a mathematical relationship between the number of reduced Sudoku grids and the total number of Sudoku grids for any size.

This relationship simplifies the enumeration of Sudoku grids and an example of the use of this method is given.

American Psychological Association (APA)

Jones, Siân K.& Perkins, Stephanie& Roach, Paul A.. 2012. The Structure of Reduced Sudoku Grids and the Sudoku Symmetry Group. International Journal of Combinatorics،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-496592

Modern Language Association (MLA)

Jones, Siân K.…[et al.]. The Structure of Reduced Sudoku Grids and the Sudoku Symmetry Group. International Journal of Combinatorics No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-496592

American Medical Association (AMA)

Jones, Siân K.& Perkins, Stephanie& Roach, Paul A.. The Structure of Reduced Sudoku Grids and the Sudoku Symmetry Group. International Journal of Combinatorics. 2012. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-496592

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496592