Sliced Max-Flow on Circular Mapper Graphs

In this work we develop a novel global invariant of circle-parametrized mapper graphs in order to analyse periodic sets, which often arise in materials science applications. This invariant describes a flow in a graph, slicing it with the fibers of the associated map onto the circle.

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Bibliographic Details
Main Authors Pegoraro, Matteo, Fajstrup, Lisbeth
Format Journal Article
LanguageEnglish
Published 07.12.2023
Subjects
Mathematics - Algebraic Topology
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Summary:In this work we develop a novel global invariant of circle-parametrized mapper graphs in order to analyse periodic sets, which often arise in materials science applications. This invariant describes a flow in a graph, slicing it with the fibers of the associated map onto the circle.
DOI:10.48550/arxiv.2312.04357