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math.CO2021★ 1 cited
The Hats game. On maximum degree and diameter
Aleksei Latyshev, Konstantin Kokhas
We analyze the following version of the deterministic \hats game. We have a graph , and a sage resides at each vertex of . When the game starts, an adversary puts on the head…
math.CO2021★ 2 cited
The Hats game. The power of constructors
Aleksei Latyshev, Konstantin Kokhas
We analyze the following general version of the deterministic Hats game. Several sages wearing colored hats occupy the vertices of a graph. Each sage can have a hat of one of c…