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20172026
most citedRyuo Nim: A Variant of the classical game of Wythoff Nim

1 citations · 3 across the 14 of their papers we have counts for

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math.CO2026

A Subtraction Nim with a Pass

Urban Larsson, Hikaru Manabe, Ryohei Miyadera

We consider a subtraction Nim with subtraction set {s_1,s_2,s_3={2,4n,4n+2}, where n is a positive integer such that n >= 3. We do not treat the case that n=1 or n=2 in this articl…

math.CO2026

Variants of Wythoff's Games with Different Terminal Sets

Kahori Komaki, Ryohei Miyadera, Aoi Murakami

We study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from one or both piles…

math.CO2025

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

Kahori Komaki, Ryohei Miyadera, Aoi Murakami

In this paper, we study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from on…

math.CO2025

A Variant of Game of Sliding Coins

Ryohei Miyadera, Hikaru Manabe, Unchon Lee

Here, we present a variant of the sliding coins game. Two coins are placed on distinct squares of a semi-infinite linear board with squares numbered . Two players…

math.CO2025

On the Sprague-Grundy values of games with a pass

Hikaru Manabe, Ryohei Miyadera, Koki Suetsugu

In this paper, we consider two-player impartial games with a pass-move. A disjunctive compound of games is a position in which, on each turn, the current player chooses one of the…

math.CO2024

Maximum Nim and Josephus Problem algorithm

Shoei Takahashi, Hikaru Manabe, Ryohei Miyadera

In this study, we study a Josephus problem algorithm. Let be positive integers and , where $ \left\lfloor \ \ \right\rfl…