2 papers
math.CO2026
Convex unions and completions from simplicial pseudomanifolds
Soohyun Park
While intersections of convex sets are convex, their unions have rather complicated behavior. Some natural contexts where they appear include duality arguments involving boundaries…
math.CO2025
Gamma vectors as inverted Chebyshev expansions, type A to B transformations, and connections to algebraic structures
Soohyun Park
Given a reciprocal/palindromic polynomial of even degree, we show that the gamma vector is essentially given by an inverted Chebyshev polynomial basis expansion. As an immediate co…