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VLSI Design
Volume 2 (1995), Issue 4, Pages 335-351
http://dx.doi.org/10.1155/1995/95759

Embeddings into Hyper Petersen Networks: Yet Another Hypercube-Like Interconnection Topology

Department of Computer Science, University of North Texas, Denton 76203, TX, USA

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new hypercube-like topology, called the hyper Petersen (HP) network, is proposed and analyzed, which is constructed from the well-known cartesian product of the binary hypercube and the Petersen graph of ten nodes.

This topology is an attractive candidate for multiprocessor interconnection having such desirable properties as regularity, high symmetry and connectivity, and logarithmic diameter. For example, an n-dimensional hyper Petersen network, HPn, with N=1.25 * 2n nodes is a regular graph of degree and node-connectivity n and diameter n–1 , whereas an (n–1)-dimensional binary hypercube, Qn1 , with the same diameter covers only 2n1 nodes, each of degree (n–1). Thus the HP topology accommodates 2.5 times extra nodes than Qn1 at the cost of increasing the node-degree by one. With the same degree and connectivity of n, the diameter of the HPn network is one less than that of Qn, yet having 1.25 times larger number of nodes.

Efficient routing and broadcasting schemes are presented, and node-disjoint paths in HPn, are computed even under faulty conditions. The versatility of the hyper Petersen networks is emphasized by embedding rings, meshes, hypercubes and several tree-related topologies into it. Contrary to the hypercubes, rings of odd lengths, and a complete binary tree of height n–1 permit subgraph embeddings in HPn.