1 citations · 1 across the 6 of their papers we have counts for
6 papers
Lunar Generalizations of the Euclidean Minimum Spanning Tree in the Plane and their Expected Costs
Ondřej Draganov, Herbert Edelsbrunner, Sophie Rosenmeier +1
Motivated by the recent introduction of chromatic persistent homology, we generalize the Euclidean minimum spanning tree (EMST) for points in to the lunar EMST f…
Chromatic Topological Data Analysis
Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner +1
Exploring the shape of point configurations has been a key driver in the evolution of TDA (short for topological data analysis) since its infancy. This survey illustrates the recen…
On the Size of Chromatic Delaunay Mosaics
Ranita Biswas, Sebastiano Cultrera di Montesano, Ondřej Draganov +2
Given a locally finite set and a coloring , we introduce the chromatic Delaunay mosaic of , which is a Delaunay mosaic…
Discrete Microlocal Morse Theory
Adam Brown, Ondrej Draganov
We establish several results combining discrete Morse theory and microlocal sheaf theory in the setting of finite posets and simplicial complexes. Our primary tool is a computation…
Computing Minimal Injective Resolutions of Sheaves on Finite Posets
Adam Brown, Ondrej Draganov
In this paper we introduce two new methods for constructing injective resolutions of sheaves of finite-dimensional vector spaces on finite posets. Our main result is the existence…
The minimal arity of near-unanimity polymorphisms
Libor Barto, Ondřej Draganov
Dmitriy Zhuk has proved that there exist relational structures which admit near-unanimity polymorphisms, but the minimum arity of such a polymorphism is large and almost matches th…