Combinatorial analysis demonstrates 21 global canon-Wilf classes in pattern-avoiding canon permutations, resolving four open conjectures in permutation enumeration.
This focused preprint proves four conjectures on pattern avoidance in canon permutations, gives all twelve fixed-alphabet counting formulas for the 64 subsets of three-letter patterns, classifies those subsets into exactly 21 global canon-Wilf classes, and develops descent and alternating-orbit enumerations. It is the combinatorial component of a reorganization of the original unified preprint (10.5281/zenodo.22088094). The expanded repeated-endpoint cone-walk, harmonic, and spectral component is now published separately as 10.5281/zenodo.22091634. A Lean 4 formalization of the principal results is in progress.
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Alex Chengyu Li (2026) studied this question.
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