The Complexity of the Partial Order Dimension Problem

作者: Mihalis Yannakakis

DOI: 10.1137/0603036

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摘要: The dimension of a partial order P is the minimum number linear orders whose intersection P. There are efficient algorithms to test if has 1 or 2. We prove that it NP-complete determine 3. As consequence, several other related dimension-type problems shown be NP-complete.

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