Interconnection Networks Based on a Generalization of Cube-Connected Cycles
IEEE Transactions on Computers
A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
Performance Analysis of k-ary n-cube Interconnection Networks
IEEE Transactions on Computers
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
The hyperstar interconnection network
Journal of Parallel and Distributed Computing
Periodically Regular Chordal Rings
IEEE Transactions on Parallel and Distributed Systems
The cube-connected cycles: a versatile network for parallel computation
Communications of the ACM
A Unified Formulation of Honeycomb and Diamond Networks
IEEE Transactions on Parallel and Distributed Systems
Introduction to Parallel Processing: Algorithms and Architectures
Introduction to Parallel Processing: Algorithms and Architectures
Design and analysis of product networks
FRONTIERS '95 Proceedings of the Fifth Symposium on the Frontiers of Massively Parallel Computation (Frontiers'95)
ICPADS '96 Proceedings of the 1996 International Conference on Parallel and Distributed Systems
Incomplete k-ary n-cube and its derivatives
Journal of Parallel and Distributed Computing
Error Control Coding, Second Edition
Error Control Coding, Second Edition
Performance, Algorithmic, and Robustness Attributes of Perfect Difference Networks
IEEE Transactions on Parallel and Distributed Systems
Performance, Algorithmic, and Robustness Attributes of Perfect Difference Networks
IEEE Transactions on Parallel and Distributed Systems
Swapped interconnection networks: Topological, performance, and robustness attributes
Journal of Parallel and Distributed Computing - Special issue: Design and performance of networks for super-, cluster-, and grid-computing: Part II
The new torus network design based On 3-dimensional hypercube
ICACT'09 Proceedings of the 11th international conference on Advanced Communication Technology - Volume 1
Theoretical notes on regular graphs as applied to optimal network design
ICDCIT'10 Proceedings of the 6th international conference on Distributed Computing and Internet Technology
Three-dimensional Petersen-torus network: a fixed-degree network for massively parallel computers
The Journal of Supercomputing
Microprocessors & Microsystems
Hi-index | 0.00 |
In view of their applicability to parallel and distributed computer systems, interconnection networks have been studied intensively by mathematicians, computer scientists, and computer designers. In this paper, we propose an asymptotically optimal method for connecting a set of nodes into a perfect difference network (PDN) with diameter 2, so that any node is reachable from any other node in one or two hops. The PDN interconnection scheme, which is based on the mathematical notion of perfect difference sets, is optimal in the sense that it can accommodate an asymptotically maximal number of nodes with smallest possible node degree under the constraint of the network diameter being 2. We present the network architecture in its basic and bipartite forms and show how the related multidimensional PDNs can be derived. We derive the exact average internode distance and tight upper and lower bounds for the bisection width of a PDN. We conclude that PDNs and their derivatives constitute worthy additions to the repertoire of network designers and may offer additional design points that can be exploited by current and emerging technologies, including wireless and optical interconnects. Performance, algorithmic, and robustness attributes of PDNs are analyzed in a companion paper.