Open Research Index

The Factor-Two Hardness Threshold for Vertex Cover

OpenAI

OpenAI Mathopenai-math/The-Factor-Two-Hardness-Threshold-for-Vertex-CoverSep 23, 2026cs.CCAI-generatedscore 0

We prove that minimum Vertex Cover is NP-hard to approximate within every fixed factor below two, even on simple unweighted graphs.

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