The Topological "Shape" of Brexit

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

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The Topological "Shape" of Brexit

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arxiv 1610.00752 v1 pith:MESFFDMB submitted 2016-09-15 cs.CG math.ATphysics.soc-ph

Bernadette J. Stolz , Heather A. Harrington , Mason A. Porter This is my paper

classification cs.CGmath.ATphysics.soc-ph

keywords brexitdatafiltrationfiltrationshomologypersistentshapeused

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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.

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