Construction of an endgame rulebook for Sylver Coinage using trees of numerical semigroups

In this paper we show how the algorithms to explore the tree of numerical semigroups can be used to calculate the winningness of positions in the game of Sylver Coinage. We introduce a new invariant for numerical semigroups, the minimal distance, and show how it can be used to prune the tree of nume...

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Veröffentlicht in:	Communications in algebra Jg. 53; H. 10; S. 4053 - 4062
Hauptverfasser:	Bras-Amorós, Maria, Moskowitz, Gilad, Ponomarenko, Vadim
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Abingdon Taylor & Francis 03.10.2025 Taylor & Francis Ltd
Schlagworte:	05A99 None of the above, but in this section (section 05Axx is Enumerative combinatorics) 06F05 Ordered semigroups and monoids 20M14 Commutative semigroups 68W30 Symbolic computation and algebraic computation numerical semigroup Semigroups Sylver coinage game
ISSN:	0092-7872, 1532-4125
Online-Zugang:	Volltext
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