3 papers
math.CO2020
Rainbow Solutions to the Sidon Equation in Cyclic Groups
Zhanar Berikkyzy, Jürgen Kritschgau
Given a coloring of group elements, a rainbow solution to an equation is a solution whose every element is assigned a different color. The rainbow number of for an e…
math.CO2018
Anti-van der Waerden numbers on Graphs
Zhanar Berikkyzy, Alex Schulte, Elizabeth Sprangel +3
In this paper arithmetic progressions on the integers and the integers modulo n are extended to graphs. This allows for the definition of the anti-van der Waerden number of a graph…
math.CO2016
Anti-van der Waerden numbers of 3-term arithmetic progressions
Zhanar Berikkyzy, Alex Schulte, Michael Young
The \emph{anti-van der Waerden number}, denoted by , is the smallest such that every exact -coloring of contains a rainbow -term arithmetic progression.…