Patterns in the generalized Fibonacci word, applied to games

DOI10.1016/j.disc.2018.03.003zbMath1386.91037OpenAlexW2792679190MaRDI QIDQ1744753

Lior Goldberg, Aviezri S. Fraenkel

Publication date: 19 April 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.03.003

zbMATH Keywords

invariance\(P\)-positionsWythoff Nimgeneralized Fibonacci word

Mathematics Subject Classification ID

Combinatorial games (91A46)

Cites Work

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• The \(\star\)-operator and invariant subtraction games
• Invariant and dual subtraction games resolving the Duchêne-Rigo conjecture
• Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions
• Invariant games
• Generalized Wythoff arrays, shuffles and interspersions
• Systems of Numeration
• A Generalized Diagonal Wythoff Nim
• How to Beat Your Wythoff Games' Opponent on Three Fronts
• A mathematical investigation of games of “take-away”

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