Cycles in Austrian Solitaire
Combinatorics
2024-04-11 v4
Abstract
Austrian Solitaire is a variation of Bulgarian Solitaire. It may be described as a card game, a method of asset inventory management, or a discrete dynamical system on integer partitions. We prove that the limit cycles in Austrian Solitaire do not depend on the initial configuration; in other words, each state space is connected. We show that a full Farey sequence completely characterizes these unique (and balanced) cycles.
Cite
@article{arxiv.2304.10917,
title = {Cycles in Austrian Solitaire},
author = {Philip Mummert},
journal= {arXiv preprint arXiv:2304.10917},
year = {2024}
}
Comments
12 pages, 1 figure. Version update: adopted standard notation; clarified some details