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It is important to choose the geographical distributions of public resourcesin a fair and equitable manner. However, it is complicated to quantify theequity of such a distribution; important factors include distances to resourcesites, availability of transportation, and ease of travel. We use persistenthomology, which is a tool from topological data analysis, to study theeffective availability and coverage of polling sites. The information frompersistent homology allows us to infer holes in the distribution of pollingsites. We analyze and compare the coverage of polling sites in Los AngelesCounty and five cities (Atlanta, Chicago, Jacksonville, New York City, and SaltLake City), and we conclude that computation of persistent homology appears tobe a reasonable approach to analyzing resource coverage.

Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites