RAIRO-Theor. Inf. Appl.
Volume 42, Number 2, April-June 2008
|Page(s)||375 - 393|
|Published online||13 December 2007|
A morphic approach to combinatorial games: the Tribonacci case
Institute of Mathematics,
University of Liège, Grande Traverse 12 (B37),
4000 Liège, Belgium;
Accepted: 26 September 2007
We propose a variation of Wythoff's game on three piles of tokens, in the sense that the losing positions can be derived from the Tribonacci word instead of the Fibonacci word for the two piles game. Thanks to the corresponding exotic numeration system built on the Tribonacci sequence, deciding whether a game position is losing or not can be computed in polynomial time.
Mathematics Subject Classification: 91A46 / 68R15 / 68Q45
Key words: Two-player combinatorial game / combinatorics on words / numeration system / Tribonacci sequence
© EDP Sciences, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.