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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…