Hardness of Finding Independent Sets in Almost 3-Colorable Graphs

Foundations of Computer Science(2010)

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摘要
For every \epsilon 0, and integer q = 3, we show that given an N-vertex graph that has an induced q-colorable sub graph of size (1-\epsilon)N, it is NP-hard to find an independent set of size N/q^2.
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关键词
approximation theory,graph colouring,optimisation,set theory,NP-hardness,V-vertex graph,colorable graph,independent sets finding,PCPs,graph coloring,hardness of approximation
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