Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/5130
Título: A recursive process related to a partisan variation of Wythoff
Autor: Carvalho, A.
Santos, C. P.
Dias, C. L.
Coelho, F.
Neto, J. P.
Vinagre, S.
Palavras-chave: Combinatorial Game Theory
Partizan Subtraction Games
Wythoff Queens
Data: 2012
Citação: CARVALHO, A.; [et al] – A recursive process related to a partisan variation of Wythoff. Integers, Electronic Journal of Combinatorial Number Theory. ISSN: 1553-1732. Vol. 12, nr. 5 (2012)
Resumo: Wythoff Queens is a classical combinatorial game related to very interesting mathematical results. An amazing one is the fact that the P-positions are given by (⌊├ φn⌋┤┤,├ ├ ⌊φ┤^2 n⌋) and (⌊├ φ^2 n⌋┤┤,├ ├ ⌊φ┤n⌋) where φ=(1+√5)/2. In this paper, we analyze a different version where one player (Left) plays with a chess bishop and the other (Right) plays with a chess knight. The new game (call it Chessfights) lacks a Beatty sequence structure in the P-positions as in Wythoff Queens. However, it is possible to formulate and prove some general results of a general recursive law which is a particular case of a Partizan Subtraction game.
Peer review: yes
URI: http://hdl.handle.net/10400.21/5130
DOI: 10.1515/integers-2012-0021
ISSN: 1553-1732
Aparece nas colecções:ISEL - Matemática - Artigos

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