Cover Image

A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Komaki, Kahori, Miyadera, Ryohei, Murakami, Aoi
Format:	Preprint
Published:	2025
Subjects:	Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Variants of Wythoff's Games with Different Terminal Sets
by: Komaki, Kahori, et al.
Published: (2026)

Wythoff's Game with a Pass
by: Miyadera, Ryohei, et al.
Published: (2017)

Impartial and Partizan Restricted Chocolate Bar Games
by: Miyadera, Ryohei, et al.
Published: (2023)

A Variant of Game of Sliding Coins
by: Miyadera, Ryohei, et al.
Published: (2025)

Variants of Wythoff game with terminal positions or blocking maneuvers
by: Renard, Antoine, et al.
Published: (2025)

A Subtraction Nim with a Pass
by: Larsson, Urban, et al.
Published: (2026)

On the Sprague-Grundy values of games with a pass
by: Manabe, Hikaru, et al.
Published: (2025)

$m$-Modular Wythoff
by: Khovanova, Tanya, et al.
Published: (2016)

A Problem of Knot
by: Miyadera, Ryohei, et al.
Published: (2024)

Maximum Nim and Josephus Problem algorithm
by: Takahashi, Shoei, et al.
Published: (2024)

Wythoff's Nim with Finite Alterations
by: Hu, Mirabel, et al.
Published: (2024)

Maximum Nim and Josephus Problem
by: Takahashi, Shoei, et al.
Published: (2024)

3 dimensional Wythoff Nim
by: Akiyama, Shigeki
Published: (2024)

Two Dimensional Silver Dollar Game
by: Miyadera, Ryohei, et al.
Published: (2025)

Geometric Variants of the Gale--Berlekamp Switching Game
by: Dumitrescu, Adrian
Published: (2024)

A Purely Geometric Variant of the Gale-Berlekamp Switching Game
by: Dumitrescu, Adrian, et al.
Published: (2025)

Generalized Hofstadter functions $G, H$ and beyond: numeration systems and discrepancy
by: Letouzey, Pierre
Published: (2025)

On the Nature and Complexity of an Impartial Two-Player Variant of the Game Lights-Out
by: Fiorini, Eugene, et al.
Published: (2024)

A Path Variant of the Explorer Director Game on Graphs
by: Raz, Abigail, et al.
Published: (2025)

The Behavior of a Three-Term Hofstadter-Like Recurrence with Linear Initial Conditions
by: Fox, Nathan
Published: (2024)

Variants of Baranyai's Theorem with Additional Conditions
by: Xi, Zoe
Published: (2024)

The Cordiality Game and the Game Cordiality Number
by: Krop, Elliot, et al.
Published: (2024)

The Hofstadter consecutive-sum sequence omits infinitely many positive integers
by: Tang, Quanyu
Published: (2026)

Variants of spectral Turán theorems and eigenvectors of graphs
by: Liu, Lele, et al.
Published: (2023)

Nash Equilibria of Rock Paper Scissors Variants
by: Thananopavarn, Adrian
Published: (2024)

Variants of Conway Checkers and k-nacci Jumping
by: Bruda, Glenn, et al.
Published: (2024)

Asymptotic Theories of Classes Defined by Forbidden Homomorphisms
by: Bodirsky, Manuel, et al.
Published: (2022)

A New Class of Geometrically Defined Hypergraphs Arising from the Hadwiger Nelson Problem
by: Fiscus, Sean, et al.
Published: (2024)

Sequence saturation
by: Anand, et al.
Published: (2024)

On the Domatic Game
by: English, Sean, et al.
Published: (2026)

An FPT Algorithm for the Exact Matching Problem and NP-hardness of Related Problems
by: Murakami, Hitoshi, et al.
Published: (2024)

Weakly Consecutive Sequences
by: Garrison, Thomas, et al.
Published: (2024)

The Edge-Distinguishing Game
by: Benjamin, Nathaniel, et al.
Published: (2025)

Impartial Games with Activeness
by: Hashimoto, Kengo
Published: (2025)

On the Set of Balanced Games
by: Garcia-Segador, Pedro, et al.
Published: (2025)

On the Constructor-Blocker Game
by: Balogh, József, et al.
Published: (2023)

Constructions of Covering Sequences and Arrays
by: Chee, Yeow Meng, et al.
Published: (2025)

A Novel Property of Generalized Fibonacci Sequence in Grids
by: Yang, Zixian, et al.
Published: (2024)

A Finitely Stable Edit Distance for Functions Defined on Merge Trees
by: Pegoraro, Matteo
Published: (2021)

A Non-Terminating Game of Beggar-My-Neighbor
by: Casella, Brayden, et al.
Published: (2024)