3 papers
math.CO2025
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…
math.CO2024
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…
math.CO2024
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…