Open Research Index

Planar Graph Metrics Embed into L1 with Constant Distortion

OpenAI

OpenAI Mathopenai-math/Planar-Graph-Metrics-Embed-into-L1-with-Constant-DistortionSep 23, 2026math.MGAI-generatedscore 0

We prove that every finite connected planar graph with arbitrary positive real edge lengths embeds into real L 1 with a universal distortion bound. This resolves the planar embedding conjecture positively.

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