Domain wall junctions in supersymmetric field theories in D = 4

We study the possible BPS domain wall junction configurations for general polynomial superpotentials of N = 1 supersymmetric Wess-Zumino models in D = 4. We scan the parameter space of the superpotential and find different possible BPS states for different values of the deformation parameters and present our results graphically. In this way we obtain a complete picture of the possible BPS domain wall junctions for the models we consider. We comment on the domain walls in F/M/IIA theories obtained from the Calabi-Yau fourfolds with isolated singularities and a background flux.