The set of Arf numerical semigroups with given Frobenius number

M. A. Moreno-Frías, J. C. Rosales

In this work we will show that if $F$ is a positive integer, then the set ${\mathrm{Arf}}(F)=\{S\mid S \mbox{ is an Arf numerical semigroup with Frobenius number } F\}$ verifies th…