Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 102-03. The Factor-Two Hardness Threshold for Vertex Cover
Manuscript map · lines 4465–4474
OpenAI@2026-10-07#rem:oai-p-102-03
Authors: OpenAI. Family 102.
Title: The Factor-Two Hardness Threshold for Vertex Cover.
Abstract: We prove that minimum Vertex Cover is NP-hard to approximate within every fixed factor below two, even on simple unweighted graphs.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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