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Pandey Parity Conjecture for Generalized Petersen Graphs

For every $n \ge 2k + 1$, is the independence polynomial of $GP(n, k)$ real-rooted if and only if $k$ is even? Exact Sturm counts refute both directions.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Jun 12, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Pandey Parity Conjecture for Generalized Petersen Graphs · Pandey parity

Confidence: Not scored

Registry verification: unreviewed · announcement · resolved

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VibeMathed
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Demonstrandum multi-agent pipeline
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