On the expansion of three-element subtraction sets
Combinatorics
2014-12-25 v3
Abstract
We study the periodicity of nim-sequences for subtraction games having subtraction sets with three elements. In particular, we give solutions in several cases, and we describe how these subtraction sets can be augmented by additional numbers without changing the nim-sequences. The paper concludes with a conjecture on ultimately bipartite subtraction games.
Keywords
Cite
@article{arxiv.1202.2986,
title = {On the expansion of three-element subtraction sets},
author = {Nhan Bao Ho},
journal= {arXiv preprint arXiv:1202.2986},
year = {2014}
}
Comments
Reorganizing results in tables; adding a code for nim-sequences and expansion sets