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math.CO2024
Homometric subsets of with cardinality 5: classification and enumeration
William Q. Erickson, Nicholas B. Jones
Two subsets of are said to be homometric if they have the same multiset of pairwise cyclic (i.e., Lee) distances. Homometric subsets necessarily have the same cardin…
math.CO2024
The Demazure product extended to biwords
William Q. Erickson
The symmetric group (and more generally, any Coxeter group) admits an associative operation known as the Demazure product. In this paper, we first extend the Demaz…
math.ST2024
Expected value and a Cayley-Menger type formula for the generalized earth mover's distance
William Q. Erickson
The earth mover's distance (EMD), also known as the 1-Wasserstein metric, measures the minimum amount of work required to transform one probability distribution into another. The E…