A brief conversation about subtraction games

Fuente: arXiv
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Autores principales: Larsson, Urban, Saha, Indrajit
Formato: Preprint
Publicado: 2024
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author Larsson, Urban
Saha, Indrajit
author_facet Larsson, Urban
Saha, Indrajit
contents In this survey we revisit {\sc finite subtraction}, one-heap subtraction games on finite rulesets. The main purpose is to give a general overview of the development, and specifically to draw attention to Flammenkamp's thesis (1997), where he, contrary to other studies, experimentally observes exponential eventual period length of the outcomes, for a carefully selected subclass of games. In addition, we contribute an appendix on {\sc finite excluded subtraction} by Suetsugu.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20054
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A brief conversation about subtraction games
Larsson, Urban
Saha, Indrajit
Combinatorics
In this survey we revisit {\sc finite subtraction}, one-heap subtraction games on finite rulesets. The main purpose is to give a general overview of the development, and specifically to draw attention to Flammenkamp's thesis (1997), where he, contrary to other studies, experimentally observes exponential eventual period length of the outcomes, for a carefully selected subclass of games. In addition, we contribute an appendix on {\sc finite excluded subtraction} by Suetsugu.
title A brief conversation about subtraction games
topic Combinatorics
url https://arxiv.org/abs/2405.20054