Comprehensive review of compactness measures to political redistricting problems

다국어 초록 (Multilingual Abstract)

Political redistricting is to redraw districts with respect to redistricting criteria such as population equality, contiguity and compactness. In the United States, spatial compactness is widely used as one of ways to prevent Gerrymandering, show internal cohesion and prohibit against boundary irregularity. However, there is no unique measure of compactness in the literature which may leads to controversial outcomes in political redistricting. The purpose of this paper is to comprehensively review various compactness measures related to political redistricting problems and discuss implications of such variety on political redistricting.

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