@misc{10481/58215,
year = {2019},
month = {11},
url = {http://hdl.handle.net/10481/58215},
abstract = {Given m E N, a numerical semigroup with multiplicity m is called a packed numerical
semigroup if its minimal generating set is included in fm;m + 1,...., 2m - 1g. In this
work, packed numerical semigroups are used to build the set of numerical semigroups
with a given multiplicity and embedding dimension, and to create a partition of this set.
Wilf’s conjecture is verified in the tree associated to some packed numerical semigroups.
Furthermore, given two positive integers m and e, some algorithms for computing the
minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embedding dimension e are provided. We also compute the semigroups
where these minimal values are achieved.},
publisher = {Drustvo Matematikov, Fizikov in Astronomov},
keywords = {Embedding dimension},
keywords = {Frobenius number},
keywords = {Genus},
keywords = {Multiplicity},
keywords = {Numerical semigroup},
title = {Semigroups with fixed multiplicity and embedding dimension},
doi = {10.26493/1855-3974.1937.5ea},
author = {García García, Juan Ignacio and Rosales González, José Carlos},
}