A mini-max spanning forest approach to the political districting problem

A mini-max spanning forest approach to the political districting problem

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Article ID: iaor200972043
Country: United Kingdom
Volume: 40
Issue: 5
Start Page Number: 471
End Page Number: 477
Publication Date: May 2009
Journal: International Journal of Systems Science
Authors:
Keywords: graphs
Abstract:

We formulate the problem of political districting as a mini-max spanning forest problem, and present some local search-based heuristics to solve the problem approximately. Through numerical experiments, we evaluate the performance of the developed algorithms. We also give a case study of a prefecture in Japan for the election of the Lower House Members of the National Diet. We observe that ‘hyperopic’ algorithm usually gives satisfactory solutions, with the resulting districts all connected and usually balanced in size.

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