Maximum Nim and Josephus Problem
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916182695608320 |
|---|---|
| author | Takahashi, Shoei Manabe, Hikaru Miyadera, Ryohei |
| author_facet | Takahashi, Shoei Manabe, Hikaru Miyadera, Ryohei |
| contents | In this study, we study the relation between Grundy numbers of a Maximum Nim and Josephus problem. Let f(x) = floor(x/k), where floor( ) is the floor function and k is a positive integer. We prove that there is a simple relation with a Maximum Nim with the rule function f and the Josephus problem in which every k-th numbers are to be removed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19308 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximum Nim and Josephus Problem Takahashi, Shoei Manabe, Hikaru Miyadera, Ryohei Combinatorics 91A46, 91A05 G.2 In this study, we study the relation between Grundy numbers of a Maximum Nim and Josephus problem. Let f(x) = floor(x/k), where floor( ) is the floor function and k is a positive integer. We prove that there is a simple relation with a Maximum Nim with the rule function f and the Josephus problem in which every k-th numbers are to be removed. |
| title | Maximum Nim and Josephus Problem |
| topic | Combinatorics 91A46, 91A05 G.2 |
| url | https://arxiv.org/abs/2403.19308 |