Presenter(s)

    Lydia R. Kindelin

    Download

    Download Project (219 KB)

    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

    Generalized Multi-latin Squares

    Share

    COinS