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math.CO2023
Anti-van der Waerden Numbers of Graph Products with Trees
Zhanar Berikkyzy, Joe Miller, Elizabeth Sprangel +2
Given a graph , an exact -coloring of is a surjective function . An arithmetic progression in of length with common difference is a se…
math.CO2023
Saturation Numbers for Berge Cliques
Sean English, Jürgen Kritschgau, Mina Nahvi +1
Let be a graph and be a hypergraph, both embedded on the same vertex set. We say is a Berge- if there exists a bijection $ϕ:E(F)\to E(\mathcal{H}…
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…