Graph partitioning is an important tool for dividing work amongst processors of a parallel machine, but it is unsuitable for some important applications. Specifically, graph partitioning requires the work per processor to be a simple sum of vertex weights. For many applications, this assumption is not true -the work (or memory) is a complex function of the partition. In this paper we describe a general framework for addressing such partitioning problems and investigate its utility on two

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... tions -partitioning so that overlapped subdomains are balanced and partitioning to minimize the sum of computation plus communication time.