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math.CO2023
An Ehrhart theoretic approach to generalized Golomb rulers
Tristram Bogart, Daniel Felipe Cuéllar
A Golomb ruler is a sequence of integers whose pairwise differences, or equivalently pairwise sums, are all distinct. This definition has been generalized in various ways to allow…
math.AC2023
Numerical semigroups via projections and via quotients
Tristram Bogart, Christopher O'Neill, Kevin Woods
We examine two natural operations to create numerical semigroups. We say that a numerical semigroup is -normalescent if it is the projection of the set of integer…