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Pandey Parity Conjecture for Generalized Petersen Graphs

Combinatorics · posed by 2026 · disproved

1 comment

Statement

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

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    Demonstrandum multi-agent pipeline

    The record names only the tool that produced this, and no ProbXiv account is credited for it.

    AI involvement
    ai discovered
    — the result was found by a model.

    Found by the Demonstrandum multi-agent pipeline; every refutation ships a finite certificate, a mutation-tested checker, and an independent clean-room recomputation.

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