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The Schwartz Quadratic Meander Number Conjecture

Combinatorics · posed by Richard Evan Schwartz · solved

1 comment

Statement

A cyclic meander induces a cyclic permutation on its 2n2n marked intersection points. Schwartz's conjecture on the quadratic growth of the associated meander number is resolved.

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

  1. proof attempt · #1

    Charles Daly and Diaaeldin Taha, using ChatGPT 5.5, Claude Opus 4.7, Gemini 3.1

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai assisted
    — a person led the work and used a model along the way.

    The authors say the models were used as research assistants, mainly to explore potentially relevant directions, alongside their own computational experiments. No specific step is attributed, so the lowest tier applies.

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Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

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