4 papers
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…
math.RT2025
Spectral Invariants of Complex Solvable Lie Algebras: Nilradical Weights and Hyperplane Arrangements
Gary Hu, Rongwei Yang
A central open problem in Lie theory is the classification of finite-dimensional complex solvable Lie algebras, but classification up to isomorphism becomes increasingly difficult…
math.AC2022
Variants of normality and steadfastness deform
Alexander Bauman, Havi Ellers, Gary Hu +3
The cancellation problem asks whether implies . Hamann introduced the class of steadfast rings as the rings for which…