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math.CO2026
A 21-Coloring of the Plane Without Monochromatic Unit-Area Rectangles
Gary Hu, Yumo Liu
Erdős and Graham asked whether every finite coloring of the plane must contain a monochromatic rectangle of any prescribed area. Kovač gave a negative answer by constructing a …
math.CO2025
Lower Bounds on Intersection Families for Certain Graphs
Paul Hamrick, Gary Hu
A family of graphs is -intersecting if the edge intersection of any two graphs in contains a copy of a fixed graph . A fundamental problem is to d…