A brief conversation about subtraction games
Combinatorics
2024-08-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2405.20054,
title = {A brief conversation about subtraction games},
author = {Urban Larsson and Indrajit Saha},
journal= {arXiv preprint arXiv:2405.20054},
year = {2024}
}
Comments
15 pages, 2 figures, Appendix by Koki Suetsugu