Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 117-01. Constant-factor hardness of uniform sparsest cut
Manuscript map · lines 4745–4754
OpenAI@2026-10-07#rem:oai-p-117-01
Authors: OpenAI. Family 117.
Title: Constant-factor hardness of uniform sparsest cut.
Abstract: We prove that, for every fixed C > 1, approximating Uniform Sparsest Cut within factor C is NP-hard. The output graphs have nonnegative rational capacities and unit demand between every pair of distinct vertices.
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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