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

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Abigail Hickok , Benjamin Jarman , Michael Johnson , Jiajie Luo , Mason A. Porter ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2206.04834

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

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Polling Equity (law) Atlanta Resource distribution Homology (biology) Geography Computer science Computation Biology Computer network Metropolitan area Resource allocation Political science Genetics Gene Archaeology Law Algorithm

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2206.04834
PDF: https://arxiv.org/pdf/2206.04834
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4320170058

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OpenAlex ID: https://openalex.org/W4320170058

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DOI: https://doi.org/10.48550/arxiv.2206.04834

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

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Type: preprint

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Language: en

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Publication year: 2022

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Publication date: 2022-06-10

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Authors: Abigail Hickok, Benjamin Jarman, Michael Johnson, Jiajie Luo, Mason A. Porter

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Landing page: https://arxiv.org/abs/2206.04834

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PDF URL: https://arxiv.org/pdf/2206.04834

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OA status: green

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OA URL: https://arxiv.org/pdf/2206.04834

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Concepts: Polling, Equity (law), Atlanta, Resource distribution, Homology (biology), Geography, Computer science, Computation, Biology, Computer network, Metropolitan area, Resource allocation, Political science, Genetics, Gene, Archaeology, Law, Algorithm

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Related works (count): 10

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