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Thiele Rules on the Voter Interval Domain

A polynomial-time algorithm for computing an optimal committee under any Thiele voting rule on the Voter Interval domain, resolving a ten-year-old open problem posed for Proportional Approval Voting by Elkind and Lackner and later extended to every Thiele rule.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Apr 7, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Thiele Rules on the Voter Interval Domain · Thiele on voter intervals

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Pasin Manurangsi
human · human collaborator

Krzysztof Sornat
human · human collaborator

Gemini Deep Think
model · ai model contributor · Google DeepMind

Lineage and corrections

This event attributed to Krzysztof Sornat

This event attributed to Pasin Manurangsi

This event attributed to Gemini Deep Think

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Thiele Rules on the Voter Interval Domain — Mathematical Frontier Network