activity
20122026
most citedBucolic Complexes

20 citations · 20 across the 6 of their papers we have counts for

collaborators

7 papers

math.CO2026

Smooth weakly modular graphs

Victor Chepoi, Bruno J. Schmidt, Peter F. Stadler

A graph is called smooth (respectively, strongly smooth) if for any two vertices , the distance point-shadow , respect…

math.GR2026

Fit systolic groups, exactly

Martín Blufstein, Victor Chepoi, Huaitao Gui +1

A systolic complex/bridged graph is fit when its (metric) intervals are "not too large". We prove that uniformly locally finite fit systolic complexes have Yu's Property A. In part…

cs.DC2026

Distance-based certification for leader election in meshed graphs and local recognition of their subclasses

Jérémie Chalopin, Victor Chepoi, Maria Kokkou

In this paper, we present a 2-local proof labeling scheme with labels in for leader election in anonymous meshed graphs. Meshed graphs form a general class of graphs d…

cs.LG2025

Efficient Algorithms for Learning and Compressing Monophonic Halfspaces in Graphs

Marco Bressan, Victor Chepoi, Emmanuel Esposito +1

Abstract notions of convexity over the vertices of a graph, and corresponding notions of halfspaces, have recently gained attention from the machine learning community. In this wor…

math.CO2025

Boundary rigidity of systolic and Helly complexes

Martín Blufstein, Jérémie Chalopin, Victor Chepoi

In this article, we prove that finite (weakly) systolic and Helly complexes can be reconstructed from their boundary distances (computed in their 1-skeleta). Furthermore, Helly com…

cs.DS2025

On -unimodality of radius functions in graphs: structure and algorithms

Jérémie Chalopin, Victor Chepoi, Feodor Dragan +2

For every weight assignment to the vertices in a graph , the radius function maps every vertex of to its largest weighted distance to the other vertices. The cente…

math.CO2012★ 20 cited

Bucolic Complexes

Bostjan Brešar, Jérémie Chalopin, Victor Chepoi +2

We introduce and investigate bucolic complexes, a common generalization of systolic complexes and of CAT(0) cubical complexes. They are defined as simply connected prism complexes…