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2014 Analysis of a Sudoku variation using partially ordered sets and equivalence relations
Ana Burgers, Shelly Smith, Katherine Varga
Involve 7(2): 187-204 (2014). DOI: 10.2140/involve.2014.7.187

Abstract

Sudoku is a popular game of logic, and there are many variations of the standard puzzle. We investigate a variation of Sudoku that uses inequalities between cells rather than numerical clues. We begin with an overview of the rules and strategies of the game. We then examine the solvability of an individual m×n block with the use of partially ordered sets, and combine 2×2 blocks to form 4×4 puzzles.

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Ana Burgers. Shelly Smith. Katherine Varga. "Analysis of a Sudoku variation using partially ordered sets and equivalence relations." Involve 7 (2) 187 - 204, 2014. https://doi.org/10.2140/involve.2014.7.187

Information

Received: 13 December 2012; Accepted: 30 March 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1286.91032
MathSciNet: MR3133719
Digital Object Identifier: 10.2140/involve.2014.7.187

Subjects:
Primary: 06A06, 20B30, 91A46

Rights: Copyright © 2014 Mathematical Sciences Publishers

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