3 papers
math.CO2026
On Ending Partizan Subtraction Nim
Hiyu Inoue, Shin-nosuke Kadowaki, Shun-ichi Kimura +1
We consider Subtraction Nim, where two players have exactly the same options, but which is partizan in the sense that at the game ending, a partizan rule is applied for the decisio…
math.CO2025
Digraph Yama Nim
Hiyu Inoue, Shun-ichi Kimura, Hikaru Manabe +3
{\sc Yama Nim} is a variant of two piles {\sc Nim}. In this ruleset, the player chosses one of the piles and removes at least two tokens from the pile. In the same move, the player…
math.CO2025
Combinatorial games and the golden ratio on digraphs
Tomoaki Abuku, Hiroki Inazu, Hiyu Inoue +4
We introduce a new combinatorial game called Triangle Game. In this game, a directed -cycle graph is given, and stones are placed on each vertex. The player chooses a directed e…