2 papers
math.CO2024
Elementary symmetric partitions
Cristina Ballantine, George Beck, Mircea Merca +1
Let e_k(x_1,...,x_l) be an elementary symmetric polynomial and let mu = (mu_1,...,mu_l) be an integer partition. Define pre_k(mu) to be the partition whose parts are the summands i…
math.CO2023
Difference ascent sequences
Mark Dukes, Bruce Sagan
Let alpha = a_1 a_2 ... a_n be a sequence of nonnegative integers. The ascent set of alpha, Asc(alpha), consists of all indices k where a_{k+1} > a_k. An ascent sequence is alpha w…