Affiliation:
1. Universidade Federal do Mato Grosso, Faculdade de Engenharia Várzea Grande, MT, Brazil
2. Universidade de Brasília, Faculdade do Gama, Brasília, DF, Brazil
Abstract
We bring the terminology of the Kunz coordinates of numerical semigroups to gapsets and we generalize this concept to m-extensions. It allows us to identify gapsets and, in general, m-extensions with tilings of boards; as a consequence, we present some applications of this identification. Moreover, we present explicit formulas for the number of gapsets with fixed genus and depth, when the multiplicity is 3 or 4, and, in some cases, for the number of gapsets with fixed genus and depth.
Publisher
World Scientific Pub Co Pte Ltd
Cited by
1 articles.
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