J. Carlsson

collaborators

2 papers

math.AT2021

A new construction for sublevel set persistence

Erik Carlsson, John Carlsson

We construct a filtered simplicial complex $(X_{L}, f_{L})$ associated to a subset $X \subset R^{d}$ , a function $f : X \to R$ with compactly supported sublevel sets…

math.CO2019

Minimum size generating partitions and their application to demand fulfillment optimization problems

Bo Jones, John Gunnar Carlsson

For $n$ and $k$ integers we introduce the notion of some partition of $n$ being able to generate another partition of $n$ . We solve the problem of finding the minimum size partitio…