The complexity of necklace splitting, consensus-halving, and discrete ham sandwich
We resolve the computational complexity of three problems known as Necklace Splitting, Consensus-Halving, and Discrete Ham sandwich, showing that they are PPA-complete. For NECKLACE SPLITTING, this result is specific to the important special case in which two thieves share the necklace. These are th...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
Published: |
Society for Industrial and Applied Mathematics
2022
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Summary: | We resolve the computational complexity of three problems known as Necklace Splitting, Consensus-Halving, and Discrete Ham sandwich, showing that they are PPA-complete. For NECKLACE SPLITTING, this result is specific to the important special case in which two thieves share the necklace. These are the first PPA-completeness results for problems whose definition does not contain an explicit circuit, thus settling the status of PPA as a class that captures the complexity of such “natural' problems. |
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