Before revision:  We consider the fully dynamic vertex update (insertion/deletion ) modelfor two types of rectangles: (i) uniform height and width and (ii) uniform height and arbitrary width . These types of dynamic vertex update problems arise, e.g., in interactive map labeling.
After revision:  We consider the fully dynamic vertex update (insertion/deletion ) modelfor two types of rectangles: (i) uniform height and width and (ii) uniform height and arbitrary width ; both settings can be modeled as rectangle intersection graphs.