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math.CO2022
Cyclic shuffle-compatibility via cyclic shuffle algebras
Jinting Liang, Bruce E. Sagan, Yan Zhuang
A permutation statistic is said to be shuffle-compatible if the distribution of over the set of shuffles of two disjoint permutations an…
math.CO2022
Enriched toric -partitions
Jinting Liang
This paper develops the theory of enriched toric -partitions. Whereas Stembridge's enriched -partitions give rises to the peak algebra which is a subring of the ring…
math.CO2022
Rowmotion on rooted trees
Pranjal Dangwal, Jamie Kimble, Jinting Liang +3
A rooted tree T is a poset whose Hasse diagram is a graph-theoretic tree having a unique minimal element. We study rowmotion on antichains and lower order ideals of T. Recently Eli…