9 citations · 9 across the 4 of their papers we have counts for
5 papers
Ample sets in Cartesian products
Victor Chepoi, Matthew Maat
Ample sets of hypercubes, introduced by A. Dress in 1995, constitute a combinatorial structure with rich properties and important examples. Ample sets can be characterized in a mul…
Cell structure of mediangle graphs
Victor Chepoi, Anthony Genevois, Kolja Knauer
Mediangle graphs are a common generalization of median graphs (1-sekeleta of CAT(0) cube complexes) and Coxeter graphs (Cayley graphs of Coxeter systems). Answering a question moti…
On embeddings of CAT(0) cube complexes into products of trees
Victor Chepoi, Mark F. Hagen
We prove that the contact graph of a 2-dimensional CAT(0) cube complex of maximum degree can be coloured with at most colours, for a fixed constant…
Geometry of ample/lopsided sets
Hans--Jürgen Bandelt, Victor Chepoi, Andreas Dress +1
Lopsided sets were introduced by Jim Lawrence in 1983 when he studied the subsets of that encode the intersection pattern of a convex set with the orthants of ${\…
Geometry of convex geometries
Jérémie Chalopin, Victor Chepoi, Kolja Knauer
We prove that any convex geometry on points and any ideal of can be realized as the intersection pat…