ID 112903
著者
Kubo, Tomoya Tokushima University
資料タイプ
紀要論文
抄録
We shall study the following restricted Wythoff’s Nim. Let Si (1 ≤ i ≤ 3) be the set of positive integers. Each player can remove the number of tokens s1 ∈ S1 from the first pile and s2 ∈ S2 from the second pile and remove the same number of tokens s3 ∈ S3 from both piles. We shall identify (m, n) to a position of this nim, where m is the number of tokens in the first pile and n is the number of tokens in the second pile. In the case |S2| < ∞, we will show the Sprague-Grundy sequence(or simply G-sequences) gS(m, n) is periodic for fixed m.
掲載誌名
Journal of Mathematics
ISSN
13467387
cat書誌ID
AA11595324
出版者
TOKUSHIMA UNIVERSITY
52
開始ページ
53
終了ページ
57
並び順
4
発行日
2018
出版社版URL
フルテキストファイル
言語
eng
著者版フラグ
出版社版
部局
理工学系