Implementation of a parallel and distributed mapping kernel for PARIX

This paper describes the mapping kernel of the virtual topology library for the commercial run-time system PARIX. The mapping kernel is composed of a collection of injective embedding functions for special interconnection structures of process graphs (virtual topologies) onto a 2-dimensional grid architecture of parallel machines of the MIMD type. Each of these functions realizes a concrete virtual topology by placing each process on a di erent processor and establishing the communication channels as virtual links with communication primitives of PARIX. The implemented functions were selected under the criteria of fast distributed computation, universal applicability, and small dilation, a well-known cost measure for graph embedding. The virtual topology library supports the implementation of parallel applications and leads to a portable programming and an e cient usage of MIMD-systems.