کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
421244 | 684171 | 2011 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Embedding processes in combinatorial game theory
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
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چکیده انگلیسی
Berlekamp asked the question “What is the habitat of ∗2∗2?” (See Guy, 1996 [6].) It is possible to generalize the question and ask “For a game GG, what is the largest nn such that ∗n∗n is a position of GG?” This leads to the concept of the nim dimension. In Santos and Silva (2008) [8] a fractal process was proposed for analyzing the previous questions. For the same purpose, in Santos and Silva (2008) [9], an algebraic process was proposed. In this paper we implement a third idea related to embedding processes. With Alan Parr’s traffic lights, we exemplify the idea of estimating the “difficulty” of the game and proving that its nim dimension is infinite.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 159, Issue 8, 28 April 2011, Pages 675–682
Journal: Discrete Applied Mathematics - Volume 159, Issue 8, 28 April 2011, Pages 675–682
نویسندگان
Carlos Pereira dos Santos,