The paper constructs explicit bijections showing 102-avoiding inversion sequences are the same objects as peak-free valley-free 2-Schröder paths ending in a diagonal, and refines counts by a new rank statistic.
Patterns in inversion sequences II : inversion sequences avoiding triples of relations
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On 102-avoiding inversion sequences
The paper constructs explicit bijections showing 102-avoiding inversion sequences are the same objects as peak-free valley-free 2-Schröder paths ending in a diagonal, and refines counts by a new rank statistic.