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math.CO2017★ 1 cited
Ryuo Nim: A Variant of the classical game of Wythoff Nim
Ryohei Miyadera, Yuki Tokuni, Yushi Nakaya +3
The authors introduce the impartial game of the generalized Ryūō Nim, a variant of the classical game of Wythoff Nim. In the latter game, two players take turns in moving a single…
math.CO2017
Transfinite Version of Welter's Game
Tomoaki Abuku
We study the transfinite version of Welter's Game, a combinatorial game played on a belt divided into squares numbered with general ordinal. In particular, we give a straight-forwa…