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math.CO2022★ 13 cited
An algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequences
Toufik Mansour, Gökhan Yıldırım
We introduce an algorithmic approach based on generating tree method for enumerating the inversion sequences with various pattern-avoidance restrictions. For a given set of pattern…
math.CO2022★ 3 cited
Statistics on bargraphs of inversion sequences of permutations
Toufik Mansour, Mark Shattuck
We consider the joint distribution of the area and perimeter statistics on the set I_n of inversion sequences of length n represented as bargraphs. Functional equations for both th…