1 citations · 1 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
Explicit expressions for the gamma vector leading to connections to upper/lower bounds and structural properties
Soohyun Park
We find an explicit formula for the gamma vector in terms of the input polynomial in a way that extends it to arbitrary polynomials. More specifically, we find explicit linear comb…
Symmetries and intrinsic vs. extrinsic properties of
Soohyun Park
We consider the following question: How much of the combinatorial structure determining properties of is ``intrinsic'' and how much new information…