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Facial Distance Patterns in Planar Graphs

Three immediate consequences follow for undirected unweighted planar graphs: better compression of the Okamura-Seymour metric, less space for constant-time exact distance oracles, and a faster distributed algorithm.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Aug 7, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Facial Distance Patterns in Planar Graphs · Facial distance patterns

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Viktor Fredslund-Hansen
human · human collaborator

Shay Mozes
human · human collaborator

Oren Weimann
human · human collaborator

GPT-5.6 Sol
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Oren Weimann

This event attributed to Shay Mozes

This event attributed to Viktor Fredslund-Hansen

This event attributed to GPT-5.6 Sol

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