2 papers
math.CO2024
The Dowker theorem via discrete Morse theory
Morten Brun, Darij Grinberg
The Dowker theorem is a classical result in the topology of finite spaces, claiming that any binary relation between two finite spaces defines two homotopy-equivalent complexes (th…
math.PR2024
Random Connection Hypergraphs
Morten Brun, Christian Hirsch, Peter Juhasz +1
In this paper, we introduce a novel model for random hypergraphs based on weighted random connection models. In accordance with the standard theory for hypergraphs, this model is c…