@misc{10481/74054, year = {2021}, month = {3}, url = {http://hdl.handle.net/10481/74054}, abstract = {We define the concentration of a numerical semigroup S as C(S) = max {next(S)(s) - s vertical bar s is an element of S\{0}} wherein next(S)(s) = min {x is an element of S vertical bar s < x}. In this paper, we study the class of numerical semigroups with concentration 2. We give algorithms to calculate the whole set of this class of semigroups with given multiplicity, genus or Frobenius number. Separately, we prove that this class of semigroups verifies the Wilf's conjecture.}, organization = {project FCT (Fundacao para a Ciencia e a Tecnologia) PTDC/MAT/73544/2006}, organization = {Junta de Andalucia FQM-343 MTM-2017-84890-P}, publisher = {Elsevier}, keywords = {Numerical semigroup}, keywords = {Concentration}, keywords = {Frobenius number}, keywords = {Genus}, keywords = {Multiplicity}, keywords = {Wilf's conjecture}, title = {Numerical semigroups with concentration two}, author = {Rosales González, José Carlos}, }