A Modified Inertial Method for Loop-free Decomposition of Acyclic Directed Graphs

Abstract

Abstract Graph decomposition is a key process in system-level synthesis, even if it is used for allocation (e.g. hardware-software partitioning) or simple decomposition as a preprocessing step (e.g. for pipelining). Acyclic graphs are usually desirable in the design processes, thus preserving the acyclicity during decomposition is crucial. We propose a modified inertial decomposition to create loop-free decomposition results. We assign coordinates to the nodes based on their maximal distance from the inputs, and give an algorithm that finds the required number of cuts in polynomial time while balancing the size of segments and looking for minimal number of edges along cuts.