The Topological 'Shape' of Brexit

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2016Embargo end date: 01 Oct 2016 English Publisher:Elsevier BVJournal:SSRN Electronic Journal (eissn: 1556-5068,

Copyright policy )Funded by:UKRI | Industrial Doctorate Cent...

Authors: Bernadette J. Stolz; Heather A. Harrington; Mason A. Porter;

doi: 10.2139/ssrn.2843662 , 10.48550/arxiv.1610.00752

arXiv: 1610.00752

The Topological 'Shape' of Brexit

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Abstract

Persistent homology is a method from computational algebraic topology that can be used to study the "shape" of data. We illustrate two filtrations --- the weight rank clique filtration and the Vietoris--Rips (VR) filtration --- that are commonly used in persistent homology, and we apply these filtrations to a pair of data sets that are both related to the 2016 European Union "Brexit" referendum in the United Kingdom. These examples consider a topical situation and give useful illustrations of the strengths and weaknesses of these methods.

9 pages, 4 figures

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Keywords

Computational Geometry (cs.CG), FOS: Computer and information sciences, Physics - Physics and Society, FOS: Mathematics, Computer Science - Computational Geometry, Algebraic Topology (math.AT), FOS: Physical sciences, Mathematics - Algebraic Topology, Physics and Society (physics.soc-ph)

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