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math.OC2019★ 4 cited
Geometry of Graph Partitions via Optimal Transport
Tara Abrishami, Nestor Guillen, Parker Rule +4
We define a distance metric between partitions of a graph using machinery from optimal transport. Our metric is built from a linear assignment problem that matches partition compon…
math.OC2018
Total Variation Isoperimetric Profiles
Daryl DeFord, Hugo Lavenant, Zachary Schutzman +1
Applications such as political redistricting demand quantitative measures of geometric compactness to distinguish between simple and contorted shapes. While the isoperimetric quoti…