We study the complexity of the motion planning problem for a bounded-reach robot in the situation where the n obstacles in its workspace satisfy two of the realistic models propos...
Mark de Berg, Matthew J. Katz, Mark H. Overmars, A...
Recent work has shown many advantages to randomly wired expander-based networks. Unfortunately, the wiring complexity of such networks becomes physically problematic as they becom...
We consider the following question: Given a subdivision of space into n convex polyhedral cells, what is the worst-case complexity of a binary space partition (BSP) for the subdiv...
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
In the scope of rendering complex models with high depth complexity, it is of great importance to design outputsensitive algorithms, i.e., algorithms with the time complexity prop...