73 citations · 326 across the 36 of their papers we have counts for
5 papers · 2 filters
Minkowski complexes and convex threshold dimension
Florian Frick, Raman Sanyal
For a collection of convex bodies containing the origin, a Minkowski complex is given by those subsets whose Minkowski sum does not contain a f…
Colorful simplicial depth, Minkowski sums, and generalized Gale transforms
Karim Adiprasito, Philip Brinkmann, Arnau Padrol +3
The colorful simplicial depth of a collection of d+1 finite sets of points in Euclidean d-space is the number of choices of a point from each set such that the origin is contained…
Whitney numbers of arrangements via measure concentration of intrinsic volumes
Karim A. Adiprasito, Raman Sanyal
We verify the Rota-Heron-Welsh conjecture for matroids realizable as c-arrangements: the coefficients of the characteristic polynomial of the associated matroid are log-concave. Th…
Two double poset polytopes
Thomas Chappell, Tobias Friedl, Raman Sanyal
To every poset P, Stanley (1986) associated two polytopes, the order polytope and the chain polytope, whose geometric properties reflect the combinatorial qualities of P. This cons…
Combinatorial mixed valuations
Katharina Jochemko, Raman Sanyal
Combinatorial mixed valuations associated to translation-invariant valuations on polytopes are introduced. In contrast to the construction of mixed valuations via polarization, com…