Colorful Simplicial Depth, Minkowski Sums, and Generalized Gale Transforms

DOI10.1093/imrn/rnx184zbMath1417.52036arXiv1607.00347OpenAlexW2963340920MaRDI QIDQ5382562

Philip Brinkmann, Raman Sanyal, Pavel Paták, Arnau Padrol, Zuzana Safernová, Karim A. Adiprasito

Publication date: 18 June 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00347

zbMATH Keywords

Minkowski sumscolorful configurationscolorful Gale transformscolorful simplicial depth

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Combinatorial aspects of simplicial complexes (05E45) Combinatorial complexity of geometric structures (52C45) Gale and other diagrams (52B35)

Related Items

Computing colourful simplicial depth and Median in \(\mathbb{R}_2\) ⋮ Tropical Carathéodory with matroids ⋮ Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums ⋮ Minkowski summands of cubes ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg

This page was built for publication: Colorful Simplicial Depth, Minkowski Sums, and Generalized Gale Transforms