The degradation of polymer networks with three functional junctions has been studied by using Monte-Carlo techniques. The networks were formed on 2D square or 3D cubic lattices in a random process with chains spanning junctions fixed at the distance not exceeding a predetermined value. This value has been found to have an effect on the degradation process that followed. The degradation degree at the gel-sol transition was the lowest for the networks formed in the nearest-neighbor percolation processes.