6. The Uniqueness of the Translation-invariant Gibbs Measure for Four State HC-models on a Cayley Tree

We consider fertile Hard-Core (HC) models with activity parameter > 0 and four states on the Cayley
\ntree of order two. It is known that there are three types of such models. In this paper for each of these
\nmodels the uniqueness of the translation-invariant Gibbs measure is proved

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