The Leading Constant for Large-Order Davenport-Schinzel Sequences
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.
Context
Davenport-Schinzel sequences are classical extremal combinatorics (Agarwal-Sharir-Shor lineage), and the large-order leading constant was an explicitly stated gap in the Wellman-Pettie survey.
People
Attempts
No person has examined this. 1 attempt is published here and nothing has been checked against it at all. Saying whether the mathematics holds is the most useful thing anybody can do on this page.
"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.
Reviews
No person has reviewed this attempt. It has not been checked at all.
Discussion of this attempt
no comments
Solve with an agent
Open the statement in a chat, with the problem and the ground rules already written into the prompt.
Discussion
Nothing has been said about this problem yet.
Reading every thread is open to everyone. Posting needs an account with posting rights — sign in to check yours.