Site-bond-correlated percolation and a sublattice dilute Potts model at finite temperatures

It is shown that the partition function of a sublattice dilute q-state Potts model (SDQPM) for even positive integer q at finite temperatures is the generating function of a site-bond-correlated percolation model (SBCPM) which favors subgraphs with larger numbers of disconnected finite clusters. The phase diagrams for the SBCPM are obtained from the corresponding phase diagrams for the SDQPM. A device is introduced to establish the connection between the SDQPM for q..-->..1 and a site-bond (random) percolation model. The results of this work contain those of some previous papers as special cases.