In the neighborhood/successors/predecessors views all edges have the same meaning. Unfortunately, it is not possible to configure these views to consider some edges as parent-child relationships and some edges as weaker associations.
Actually, the BPMN layout algorithm is the only layout algortihm in yEd that works with different types of edges. However, that algorithm determines the edge type automatically depending on the connected BPMN nodes. Moreover, that algorithm can only be used in the main editor tab (the algorithm used in the context views cannot be replaced).