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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Vydané v:	Communications in algebra Ročník 53; číslo 10; s. 4053 - 4062
Hlavní autori:	Bras-Amorós, Maria, Moskowitz, Gilad, Ponomarenko, Vadim
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Abingdon Taylor & Francis 03.10.2025 Taylor & Francis Ltd
Predmet:	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
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