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DIVISION SUDOKUS: INVARIANTS, ENUMERATION, AND MULTIPLE PARTITIONS

Published online by Cambridge University Press:  02 October 2019

ALEŠ DRÁPAL  and
PETR VOJTĚCHOVSKÝ
ALEŠ DRÁPAL
Affiliation:
Department of Mathematics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic e-mail: drapal@karlin.mff.cuni.cz
PETR VOJTĚCHOVSKÝ
Affiliation:
Department of Mathematics, University of Denver, 2390 S. York St, Denver, CO 80208, USA e-mail: petr@math.du.edu
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Abstract

A division sudoku is a latin square whose all six conjugates are sudoku squares. We enumerate division sudokus up to a suitable equivalence, introduce powerful invariants of division sudokus, and also study latin squares that are division sudokus with respect to multiple partitions at the same time. We use nearfields and affine geometry to construct division sudokus of prime power rank that are rich in sudoku partitions.

Keywords

05B1520N05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 3 , September 2020 , pp. 600 - 630
Copyright
© Glasgow Mathematical Journal Trust 2019

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