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The research explores properties of generalized multi-latin squares and proposes ways to construct them. Much like a Sudoku puzzle, generalized multi-latin squares have parameters restricting the symbols in an array. A (n, t, m, p, q)-generalized multi-latin square is an array consisting of n rows and n columns, where each cell is filled with m symbols from a collection consisting of t different symbols, any symbol appears in each row and in each column p times, and any pair of different symbols occur together q times. Understanding trivial examples, the properties, and the math behind the problem reveals multiple examples and a systematic way to build generalized multi-latin squares.
Atif A. Abueida
Primary Advisor's Department
Stander Symposium poster
Kindelin, Lydia R., "Generalized Multi-latin Squares" (2013). Stander Symposium Posters. 281.