Linear-size formulations for connected planar graph partitioning and political districting

Motivated by applications in political districting, we consider the task of partitioning the n vertices of a planar graph into k connected components. We propose an extended formulation for this task that has two desirable properties: (i) it uses just O(n) variables, constraints, and nonzeros, and (...

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Bibliographic Details
Main Authors: Zhang, Jack, Validi, Hamidreza, Buchanan, Austin, Hicks, Illya V.
Other Authors: Massachusetts Institute of Technology. Operations Research Center
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2024
Online Access:https://hdl.handle.net/1721.1/153305