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The Leading Constant for Large-Order Davenport-Schinzel Sequences

Combinatorics · posed by Stated as open by Wellman and Pettie · solved

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Statement

Wellman and Pettie noted that the true leading constant for large-order Davenport-Schinzel sequences was known only to lie in an interval. The paper improves the Roselle-Stanton lower bound to match the pigeonhole upper bound in the leading term, resolving the constant to exactly 1/2.

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

  1. proof attempt · #1

    Jesse Geneson, using Claude 4.6, GPT 5.2

    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.

    "Claude 4.6 and GPT 5.2 were used for proof development, exposition, and revision." No individual step is attributed, so the lower tier applies per the methodology.

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