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SUBSQUARES IN GENERALIZED SUDOKU SQUARES
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SUBSQUARES IN GENERALIZED SUDOKU SQUARES

Ian Eric Adkins
University of West Florida
Master of Science (MS), University of West Florida
2015

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Abstract

The question for what orders does there exist a subsquare-free latin square, has not been completely solved to date. We wish to extend the problem of finding subsquare-free latin squares to generalized sudoku squares. We give an attempted solution by constructing a generalized sudoku square with no subsquares of order m, where m 62 f2; ng. Additionally, when n is not equal to 2 or 4, we give a construction for a generalized sudoku square of order n2 with no intercalates.
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