Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 173-01. A proof of Seymour’s second-neighborhood conjecture
Manuscript map · lines 5595–5604
OpenAI@2026-10-07#rem:oai-p-173-01
Authors: OpenAI. Family 173.
Title: A proof of Seymour’s second-neighborhood conjecture.
Abstract: We prove that every nonempty finite oriented graph has a vertex with at least as many vertices at directed distance two as at directed distance one. This resolves Seymour's second neighborhood conjecture positively.
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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