7 citations · 13 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Triangle-degree and triangle-distinct graphs
Zhanar Berikkyzy, Beth Bjorkman, Heather Smith Blake +5
Let be a simple graph and be a vertex of . The triangle-degree of in is the number of triangles that contain . While every graph has at least two vertices wit…
Combinatorial Identities for Vacillating Tableaux
Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2
Vacillating tableaux are sequences of integer partitions that satisfy specific conditions. The concept of vacillating tableaux stems from the representation theory of the partition…
On the existence of -cages
Gabriela Araujo-Pardo, Zhanar Berikkyzy, Linda Lesniak
In this paper, we work with simple and finite graphs. We study a generalization of the \emph{Cage Problem}, which has been widely studied since cages were introduced by Tutte \cite…