  We consider a general spin-1/2 Ising model with multisite interaction on the
Husimi lattice with the coordination number q and derive an analytical
expression of correlation functions for stable fixed points of the
corresponding recurrence relation. We show that for q=2 our model transforms to
the 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 the
corresponding model on the Bethe lattice with q=3, using the Yang-Baxter
equations.
