Generalized Multi-latin Squares

Authors

Presenter(s)

Lydia R. Kindelin

Files

Description

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.

Publication Date

4-17-2013

Project Designation

Honors Thesis

Primary Advisor

Atif A. Abueida

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

Recommended Citation

"Generalized Multi-latin Squares" (2013). Stander Symposium Projects. 281.
https://ecommons.udayton.edu/stander_posters/281