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In the last decade, computational approaches to graph partitioning have made a major impact in the analysis of political redistricting, including in U.S. courts of law. Mathematically, a districting plan can be viewed as a balanced partition of a gra
Externí odkaz:
http://arxiv.org/abs/2210.01401
Autor:
Conroy, Jonathan, Thierauf, Christopher, Rule, Parker, Krause, Evan, Akitaya, Hugo, Gonczi, Andrei, Korman, Matias, Scheutz, Matthias
Regular irradiation of indoor environments with ultraviolet C (UVC) light has become a regular task for many indoor settings as a result of COVID-19, but current robotic systems attempting to automate it suffer from high costs and inefficient irradia
Externí odkaz:
http://arxiv.org/abs/2104.02913
Autor:
Abrishami, Tara, Guillen, Nestor, Rule, Parker, Schutzman, Zachary, Solomon, Justin, Weighill, Thomas, Wu, Si
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 components, with assignment cost proportional to transport distance over gra
Externí odkaz:
http://arxiv.org/abs/1910.09618
Akademický článek
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