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http://hdl.handle.net/10174/34637
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| Title: | Numerical semigroups with concentration two |
| Authors: | J. Carlos, Rosales
M. B., Branco
Marcio, Traesel |
| Editors: | Elsevier |
| Keywords: | Numerical semigroup Concentration Frobenius number Genus Multiplicity Wilf’s conjecture |
| Issue Date: | Mar-2022 |
| Publisher: | Indagationes Mathematicae - Elsevier |
| Citation: | José C. Rosales, M.B. Branco, Márcio A. Traesel, Numerical semigroups with concentration two, Indagationes Mathematicae Volume 33, Issue 2, March 2022, Pages 303-313. |
| Abstract: | We define the concentration of a numerical semigroup S as C(S) = max {nextS (s) − s | s ∈ S\{0}} wherein nextS (s) = min {x ∈ S | 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. |
| URI: | https://www.sciencedirect.com/science/article/pii/S001935772100063X
http://hdl.handle.net/10174/34637 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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