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The set of numerical semigroups of a given genus

Published 8 Jun 2011 in math.CO, math.AC, and math.NT | (1106.1527v1)

Abstract: In this paper we present a new approach to construct the set of numerical semigroups with a fixed genus. Our methodology is based on the construction of the set of numerical semigroups with fixed Frobenius number and genus. An equivalence relation is given over this set and a tree structure is defined for each equivalence class. We also provide a more efficient algorithm based in the translation of a numerical semigroup to its so-called Kunz-coordinates vector.

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Authors (2)

  1. V. Blanco 
  2. J. C. Rosales 

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