NumericMonoid swMATH ID: 34492 Software Authors: Fromentin, J., Hivert, F. Description: Computing the number of numerical monoid of a given genus. This is a very optimized implementation of algorithm described in Jean Fromentin and Florent Hivert. 2016. Exploring the tree of numerical semigroups. Math. Comput. 85, 301 (2016), 2553–2568. DOI:https://doi.org/10.1090/mcom/3075. Homepage: https://github.com/hivert/NumericMonoid Source Code: https://github.com/hivert/NumericMonoid Related Software: nsgtree; numericalsgps; NumericalSemigroupsWithGenus; GAP; OEIS; GitHub; RGD-algorithm; intpic; Cilk; Normaliz; Mathematica; PropModSemig.m; combos; FrobeniusNumberAndGenus; SageMath Cited in: 22 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Exploring the tree of numerical semigroups. Zbl 1344.20075Fromentin, Jean; Hivert, Florent 2016 all top 5 Cited by 31 Authors 5 Eliahou, Shalom 4 Fromentin, Jean 3 Bras-Amorós, Maria 2 Bernardini, Matheus 2 Delgado, Manuel 2 Fernández-González, Julio 2 García García, Juan Ignacio 2 Marin-Aragon, Daniel 2 Rosales, José Carlos 2 Vigneron-Tenorio, Alberto 1 Alhajjar, Elie 1 Barucci, Valentina 1 Branco, Manuel Baptista 1 Bruns, Winfried 1 Díaz-Ramírez, J. D. 1 García Sánchez, Pedro A. 1 Hivert, Florent 1 Kaplan, Nathan 1 Maugeri, Nicola 1 Moreno-Frías, Maria Angeles 1 Ojeda Martínez de Castilla, Ignacio 1 O’Neill, Christopher 1 Rodríguez, César Marín 1 Russell, Travis B. 1 Sánchez-R.-Navarro, Alfredo 1 Spirito, Dario 1 Steward, Michael 1 Strazzanti, Francesco 1 Torres, Fernando 1 Wilburne, Dane 1 Zito, Giuseppe all top 5 Cited in 14 Serials 3 Mathematics of Computation 3 Semigroup Forum 1 American Mathematical Monthly 1 Communications in Algebra 1 Discrete Mathematics 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 Results in Mathematics 1 International Journal of Algebra and Computation 1 The Electronic Journal of Combinatorics 1 Portugaliae Mathematica. Nova Série 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Ars Mathematica Contemporanea all top 5 Cited in 8 Fields 22 Group theory and generalizations (20-XX) 11 Combinatorics (05-XX) 8 Number theory (11-XX) 4 Computer science (68-XX) 2 Commutative algebra (13-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Convex and discrete geometry (52-XX) Citations by Year