Mixed-Radix Nim
Combinatorics
2019-01-09 v2
Abstract
We present take-away games whose Sprague-Grundy functions are given by the Nim sum of heap sizes in a mixed base . Let be the set of such games. We give a necessary and sufficient condition for the existence of a minimum of , and a recursive construction of the maximum of .
Keywords
Cite
@article{arxiv.1801.00616,
title = {Mixed-Radix Nim},
author = {Yuki Irie},
journal= {arXiv preprint arXiv:1801.00616},
year = {2019}
}