Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 089-02. L1 Embeddings of Graphs of Bounded Treewidth
Manuscript map · lines 4205–4214
OpenAI@2026-10-07#rem:oai-p-089-02
Authors: OpenAI. Family 089.
Title: L1 Embeddings of Graphs of Bounded Treewidth.
Abstract: For every fixed treewidth bound, the shortest-path metrics of finite connected graphs with arbitrary positive real edge lengths embed into real L1 with uniformly bounded distortion. This resolves the bounded-treewidth case of the Gupta–Newman–Rabinovich–Sinclair 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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