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- W3202008368 abstract "Roughly speaking, gerrymandering is the systematic manipulation of the boundaries of electoral districts to make a specific (political) party win as many districts as possible. While typically studied from a geographical point of view, addressing social network structures, the investigation of gerrymandering over graphs was recently initiated by Cohen-Zemach et al. [AAMAS 2018]. Settling three open questions of Ito et al. [AAMAS 2019, TCS 2021], we classify the computational complexity of the NP-hard problem Gerrymandering over Graphs when restricted to paths and trees. Our results, which are mostly of negative nature (that is, worst-case hardness), in particular yield two complexity dichotomies for trees. For instance, the problem is polynomial-time solvable for two parties but becomes weakly NP-hard for three. Moreover, we show that the problem remains NP-hard even when the input graph is a path." @default.
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- W3202008368 date "2021-01-01" @default.
- W3202008368 modified "2023-10-02" @default.
- W3202008368 title "The Complexity of Gerrymandering over Graphs: Paths and Trees" @default.
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- W3202008368 doi "https://doi.org/10.1007/978-3-030-86838-3_15" @default.
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