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math.CO2019
Wilf's conjecture in fixed multiplicity
Winfried Bruns, Pedro Garcia-Sanchez, Christopher O'Neill +1
We give an algorithm to determine whether Wilf's conjecture holds for all numerical semigroups with a given multiplicity , and use it to prove Wilf's conjecture holds whenever $…
math.CO2019
The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids
Winfried Bruns, Pedro A. García-Sánchez, Luca Moci
We describe the structure of the monoid of natural-valued monotone functions on an arbitrary poset. For this monoid we provide a presentation, a characterization of prime elements,…