Retraction notice highlights a logical error in the maximum clique algorithm's complexity claims.
NOTICE OF RETRACTION: The author is retracting this work due to a recently identified logical error in the implementation of the vertex-splitting process. Specifically, the algorithm does not maintain a strict polynomial complexity bound on all graph topologies, and the "Double-Bound Theorem" as currently formulated does not guarantee the claimed O(n₀³³) bound for worst-case instances. Readers are advised to disregard the complexity claims and the proof provided in this version.
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Lok Ping Leung (2026) studied this question.