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math.CO2025
Planar ternary graphs, flag spheres, and Delannoy polynomials
Margaret Bayer, Richard Danner, Thiago Holleben +2
In 2022 Kim showed that when a graph is ternary (without induced cycles of length divisible by three), its independence complex is either contractible or homoto…
math.CO2024
Convex Geometry of Building Sets
Spencer Backman, Richard Danner
Building sets were introduced in the study of wonderful compactifications of hyperplane arrangement complements and were later generalized to finite meet-semilattices. Convex geome…
math.CO2024
Tropical Geometry of Rado Matroids
Calum Buchanan, Richard Danner
In this note, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson. We prove that the stab…