@misc{10498/29071, year = {2023}, month = {5}, url = {http://hdl.handle.net/10498/29071}, abstract = {In this paper, we study the set L(m, r) of all numerical semigroups with multiplicity m and ratio r. In particular, we present some algorithms that compute all the elements of L(m, r) with a given genus or with a given Frobenius number.}, publisher = {Springer}, keywords = {Numerical semigroup}, keywords = {Frobenius pseudo-variety}, keywords = {Frobenius number}, keywords = {Genus}, keywords = {Multiplicity}, keywords = {Ratio}, keywords = {Algorithm}, title = {Frobenius pseudo-variety of numerical semigroups with a given multiplicity and ratio}, doi = {10.1007/s00200-023-00610-w}, author = {Moreno Frías, María Ángeles and Rosales, José Carlos}, }