An explicit bijection between the inversion sequences avoiding 0312 and 0321
Melis Gezer, Gökhan Yıldırım · Hacettepe Journal of Mathematics and Statistics · 2025
We present an explicit bijection between the set of inversion sequences avoiding the patterns 0312 and 0321, preserving five statistics: the counts of zeros, distinct elements, repeating elements, left-to-right maxima, and the maximum entry. We also provide some sampling algorithms for these pattern-avoiding inversion sequences