Journal of Statistical Physics, Vol. 49, Nos. 3/4, 1987. p. 491-509.
We perform a slight modification of the decoration~lecimation transformation which allows us to map the homogeneous Ising model on the honeycomb lattice on an inhomogeneous Ising model on the Kagom6 lattice. Then, we obtain exact results for a class of random bond Ising model on the Kagom6 lattice with competing interactions and show that the different types of frustration make the critical point of the pure model disappear.