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arxiv: 1210.5648 · v2 · pith:VROB7GX4new · submitted 2012-10-20 · 💻 cs.CC

New NP-hardness results for 3-Coloring and 2-to-1 Label Cover

classification 💻 cs.CC
keywords coloringcoverfindgivenlabelnp-hardto-1assignment
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We show that given a 3-colorable graph, it is NP-hard to find a 3-coloring with $(16/17 + \eps)$ of the edges bichromatic. In a related result, we show that given a satisfiable instance of the 2-to-1 Label Cover problem, it is NP-hard to find a $(23/24 + \eps)$-satisfying assignment.

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