Publication
A recursive process related to a partisan variation of Wythoff
| dc.contributor.author | Carvalho, A. | |
| dc.contributor.author | Santos, C. P. | |
| dc.contributor.author | Dias, C. L. | |
| dc.contributor.author | Coelho, F. | |
| dc.contributor.author | Neto, J. P. | |
| dc.contributor.author | Vinagre, S. | |
| dc.date.accessioned | 2015-09-10T09:36:15Z | |
| dc.date.available | 2015-09-10T09:36:15Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | 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. | por |
| dc.identifier.citation | 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) | por |
| dc.identifier.doi | 10.1515/integers-2012-0021 | |
| dc.identifier.issn | 1553-1732 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/5130 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.subject | Combinatorial Game Theory | por |
| dc.subject | Partizan Subtraction Games | por |
| dc.subject | Wythoff Queens | por |
| dc.title | A recursive process related to a partisan variation of Wythoff | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 5 | por |
| oaire.citation.title | Integers, Electronic Journal of Combinatorial Number Theory | por |
| oaire.citation.volume | 12 | por |
| rcaap.rights | closedAccess | por |
| rcaap.type | article | por |
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