Graph Partitioning for Dynamic, Adaptive, and Multi-phase Computations

Algorithms that nd good partitionings of highly unstructured graphs are critical in developing eÆcient algorithms for problems in a variety of domains such as scienti c simulations that require solution to large sparse linear systems, VLSI design, and data mining. Even though this problem is NP-hard, eÆcient multi-level algorithms have been developed that can nd good partitionings of static irregular meshes. The problem of graph partitioning becomes a lot more challenging when the graph is dynamically evolving (e.g., in adaptive computations), or if computation in multiple phases needs to be balanced simultaneously. This talk will discuss these challenges, and then describe some of our recent research in addressing them.