Before revision:  We study the maximal independent set (MIS) and maximum independent set ( MAX-IS ) problems on dynamic sets of O(n) axis-parallel rectangles, which can be modeled as dynamic rectangle intersection graphs.
After revision:  We study the maximal independent set (MIS) and maximum independent set ( Max-IS ) problems on dynamic sets of O(n) axis-parallel rectangles, which can be modeled as dynamic rectangle intersection graphs.