Sample sort on meshes

This paper provides an overview of lower and upper bounds for mesh-connected processor networks. Most attention goes to routing and sorting problems, but other problems are mentioned as well. Results from 1977 to 1995 are covered. We provide numerous results, references and open problems. The text is completed with an index. This is a worked-out version of the author's contribution to a joint paper with Grammatikakis, Hsu and Kraetzl on multicomputer routing, submitted to JPDC

Sample Sort on Meshes

In this paper various algorithms for sorting on processor networks are considered. We focus on meshes, but the results can be generalized easily to other decomposable architectures. We consider the k-k sorting problem in which every PU initially holds k packets. We present well-known randomized and deterministic splitter-based sorting algorithms. We come with a new deterministic sorting algorithm which performs much better than previous ones. The number of routing steps is reduced by a refined deterministic splitter selection. Hereby deterministic sorting might become competitive with randomized sorting in practice. 1 Introduction 1.1 Problem and Machine Meshes. One of the most thoroughly investigated interconnection schemes for parallel computation is the n \Theta n mesh, in which n 2 processing units, PUs, are connected by a twodimensional grid of communication links. Its immediate generalizations are d-dimensional n \Theta \Delta \Delta \Delta \Theta n meshes. While meshes have ..