2016/12/09 by Zhicong Lin, Lin, Zhicong, Dongsu Kim +1
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Coding theory and cryptography #Advanced Mathematical Identities
paper · pdf · doi:10.48550/arxiv.1612.02964
We construct an intriguing bijection between 021-avoiding inversion sequences and (2413,4213)-avoiding permutations, which proves a sextuple equidistribution involving double Eulerian statistics. Two interesting applications of this result are also presented. Moreover, this result inspires us to characterize all permutation classes that avoid two patterns of length 4 whose descent polynomial equals that of separable permutations.