acceptodds
Preprint in the OpenAI Math release

L1 Embeddings of Graphs of Bounded Treewidth

OpenAI

Abstract

For every fixed treewidth bound, the shortest-path metrics of finite connected graphs with arbitrary positive real edge lengths embed into real L with uniformly bounded distortion. This resolves the bounded-treewidth case of the Gupta–Newman–Rabinovich–Sinclair conjecture positively.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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