12 citations · 14 across the 6 of their papers we have counts for
6 papers
Stem-Symmetry, Comb Products, and their Relation to Amoeba Graphs
Jillian Eddy, Ryan Pesak, Daniel Qin +1
Local and global amoebas are families of labeled graphs that satisfy interpolation properties on a fixed vertex set. A labeled graph on vertices is a local amoeba (resp. gl…
Optimization Tools for Computing Colorings of with Few Monochromatic Solutions on -variable Linear Equations
Jesús A. De Loera, Denae Ventura, Liuyue Wang +1
A famous result in arithmetic Ramsey theory says that for many linear homogeneous equations there is a threshold value (the Rado number of ) such that for any -c…
Unavoidable patterns in -colorings of the complete bipartite graph
Adriana Hansberg, Denae Ventura
We determine the colored patterns that appear in any -edge coloring of , with large enough and with sufficient edges in each color. We prove the existence of a posi…
New recursive constructions of amoebas and their balancing number
Laura Eslava, Adriana Hansberg, Tonatiuh Matos Wiederhold +1
The definition of amoeba graphs is based on iterative \emph{feasible edge-replacements}, where, at each step, an edge from the graph is removed and placed in an available spot in a…
The balancing number and list balancing number of some graph classes
Antoine Dailly, Adriana Hansberg, Laura Eslava +1
Given a graph , a 2-coloring of the edges of is said to contain a balanced copy of if we can find a copy of such that half of its edges is in each color class. If…
On the balanceability of some graph classes
Antoine Dailly, Adriana Hansberg, Denae Ventura
Given a graph , a 2-coloring of the edges of is said to contain a balanced copy of if we can find a copy of such that half of its edges are in each color class. If…