Date of Award
January 2016
Degree Type
Open Access Thesis
Document Type
Master Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics and Statistics
First Advisor
Steve Szabo
Department Affiliation
Mathematics and Statistics
Second Advisor
Donald Jason Gibson
Department Affiliation
Mathematics and Statistics
Third Advisor
Patrick J. Costello
Department Affiliation
Mathematics and Statistics
Abstract
Let p1, p2, . . . , pn be pairwise coprime positive integers and let P = p1p2 · · · pn. Let 0,1,...,m−1 be a sequence of m different colors. Let A be an n×mP matrix of colors in which row i consists of blocks of pi consecutive entries of the same color, with colors 0 through m − 1 repeated cyclically. The Monochromatic Column problem is to determine the number of columns of A in which every entry is the same color. A partial solution for the case when m is prime is given.
Copyright
Copyright 2016 Loran Elizabeth Crowell
Recommended Citation
Crowell, Loran Elizabeth, "The Monochromatic Column Problem: The Prime Case" (2016). Online Theses and Dissertations. 356.
https://encompass.eku.edu/etd/356
