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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…
math.CO2020★ 1 cited
Cliques and constructors in "Hats'"game
Konstantin Kokhas, Aleksei Latyshev, Vadim Retinsky
The following general variant of deterministic Hats game is analyzed. Several sages wearing colored hats occupy the vertices of a graph, the -th sage can have hats of one of $h(…
math.CO2019★ 7 cited
For which graphs the sages can guess correctly the color of at least one hat
Konstantin Kokhas, Aleksei Latyshev
Several sages wearing colored hats occupy the vertices of a graph. Each sage tries to guess the color of his own hat merely on the basis of observing the hats of his neighbours wit…