2 papers
math.CO2026
Coin Turning Games on Partially Ordered Sets
Masao Ishikawa, Toyokazu Ohmoto, Hiroyuki Tagawa +1
A finite impartial game is a two-player game in which the players take turns making moves and the game ends after finitely many moves. In this paper, we study a class of finite imp…
math.CO2025
Non-isomorphic Cayley Graphs with Same Random Walk Distributions
Masao Ishikawa, Fumihiko Nakano, Taizo Sadahiro
We construct an infinite family of triples (G,S1, S2) each consisting of a group G and a pair (S1, S2) of distinct subsets of G with the following properties. i The two Cayley grap…