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math.CO2023
Generalizations of POD and PED partitions
Cristina Ballantine, Amanda Welch
Partitions with even (respectively odd) parts distinct and all other parts unrestricted are often referred to as PED (respectively POD) partitions. In this article, we generalize t…
math.CO2023
PED and POD partitions: combinatorial proofs of recurrence relations
Cristina Ballantine, Amanda Welch
PED partitions are partitions with even parts distinct while odd parts are unrestricted. Similarly, POD partitions have distinct odd parts while even parts are unrestricted. Merca…
math.CO2023
Toggling, rowmotion, and homomesy on interval-closed sets
Jennifer Elder, Nadia Lafrenière, Erin McNicholas +2
Interval-closed sets of a poset are a natural superset of order ideals. We initiate the study of interval-closed sets of finite posets from enumerative and dynamical perspectives.…