2 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.CO2025
-Ending partisan rulesets
Hiroki Inazu, Shun-ichi Kimura, Koki Suetsugu
In this paper, we consider -ending partisan rulesets as a branch of combinatorial game theory. In these rulesets, the sets of options of both players are th…