3 papers
math.CO2026
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…
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…