Cycles in Austrian Solitaire
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914746847985664 |
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| author | Mummert, Philip |
| author_facet | Mummert, Philip |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10917 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cycles in Austrian Solitaire Mummert, Philip Combinatorics 05A17 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. |
| title | Cycles in Austrian Solitaire |
| topic | Combinatorics 05A17 |
| url | https://arxiv.org/abs/2304.10917 |