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We consider a general spin-1/2 Ising model with multisite interaction on theHusimi lattice with the coordination number q and derive an analyticalexpression of correlation functions for stable fixed points of thecorresponding recurrence relation. We show that for q=2 our model transforms tothe two-state vertex model on the Bethe lattice with q=3 and for the case q=3,with only nearest neighbour interactions, we transform our model to thecorresponding model on the Bethe lattice with q=3, using the Yang-Baxterequations.Comment: 10 pages, 3 figure

Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice