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- W4381245358 abstract "We study the computational complexity of finding a solution for the straight-cut and square-cut pizza sharing problems. We show that computing an $varepsilon$-approximate solution is PPA-complete for both problems, while finding an exact solution for the square-cut problem is FIXP-hard and in BU. Our PPA-hardness results apply for any $varepsilon < 1/5$, even when all mass distributions consist of non-overlapping axis-aligned rectangles or when they are point sets, and our FIXP-hardness result applies even when all mass distributions are unions of squares and right-angled triangles. We also prove that the decision variants of both approximate problems are NP-complete, while it is ETR-complete for the exact version of square-cut pizza sharing." @default.
- W4381245358 created "2023-06-20" @default.
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- W4381245358 date "2020-12-28" @default.
- W4381245358 modified "2023-10-16" @default.
- W4381245358 title "Pizza Sharing is PPA-hard" @default.
- W4381245358 doi "https://doi.org/10.48550/arxiv.2012.14236" @default.
- W4381245358 hasPublicationYear "2020" @default.
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