Hat guessing number of planar graphs is at least 22
Abstract
We analyze the version of the deterministic Hats game. In this paper, we present new constructors, i.e. theorems that allow built winning strategies for the sages on different graphs. Using this technique we calculate the hat guessing number HGs(G) for paths and "petunias", and present a planar graph G for which HG1(G) 22.
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