#### Vol. 12, No. 8, 2019

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-4184 (e-only) ISSN: 1944-4176 (print) Author Index Coming Soon Other MSP Journals
The monochromatic column problem with a prime number of colors

### Loran Crowell and Steve Szabo

Vol. 12 (2019), No. 8, 1415–1422
##### Abstract

Let ${p}_{1},\dots ,{p}_{n}$ be a sequence of $n$ pairwise coprime positive integers, $P={p}_{1}\cdots {p}_{n}$, and $0,\dots ,m-1$ be a sequence of $m$ different colors. Let $A$ be an $n×mP$ matrix of colors in which row $i$ consists of blocks of ${p}_{i}$ 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. The solution for a prime number of colors is provided.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/involve

We have not been able to recognize your IP address 3.215.177.171 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

##### Keywords
monochromatic column problem, Chinese remainder theorem, multiple sequence alignment problem
##### Mathematical Subject Classification 2010
Primary: 05A15, 11A07