The necklace-hypercube: a well scalable hypercube-based interconnection network for multiprocessors

In this paper, we introduce a new interconnection network, namely the necklace-hypercube, based on the binary cube with an array of processors (as a necklace of processors) attached to each two adjacent nodes of the hypercube network. Topological properties of the proposed network are studied. Some important basic operations such as optimal routing and VLSI layout in necklace-hypercubes are also addressed here. Moreover, a comparison between the necklace-hypercube and some other popular networks is conducted. The comparison is based on VLSI layout, scalability, and other static topological properties. Area-efficient VLSI layout and network scalability of the necklace-hypercube make it an attractive alternative to the well-known hypercube network topology, while keeping most of desirable properties of the hypercube.

[1]  Antonio Fernández,et al.  Products of Networks with Logarithmic Diameter and Fixed Degree , 1995, IEEE Trans. Parallel Distributed Syst..

[2]  Antonio Fernández,et al.  Efficient VLSI Layouts for Homogeneous Product Networks , 1997, IEEE Trans. Computers.

[3]  S.G. Akl,et al.  On some properties of k-ary n-cubes , 2001, Proceedings. Eighth International Conference on Parallel and Distributed Systems. ICPADS 2001.

[4]  Alpesh Patel,et al.  Area-Efficient VLSI Layouts for Binary Hypercubes , 2000, IEEE Trans. Computers.

[5]  M. M. Hafizur Rahman,et al.  HTN: a new hierarchical iterconnection network for massively parallel computers , 2003 .

[6]  Behrooz Parhami,et al.  Efficient VLSI layouts of hypercubic networks , 1999, Proceedings. Frontiers '99. Seventh Symposium on the Frontiers of Massively Parallel Computation.

[7]  Abdel Elah Al-Ayyoub,et al.  The Cross Product of Interconnection Networks , 1997, IEEE Trans. Parallel Distributed Syst..

[8]  D. West Introduction to Graph Theory , 1995 .

[9]  Sheldon B. Akers,et al.  The Star Graph: An Attractive Alternative to the n-Cube , 1994, ICPP.

[10]  Khaled Day,et al.  The Hyperstar Interconnection Network , 1998, J. Parallel Distributed Comput..

[11]  Dharma P. Agrawal,et al.  Hybrid graph-based networks for multiprocessing , 1998, Telecommun. Syst..

[12]  Shimon Even,et al.  Layout Area of the Hypercube , 2003, J. Interconnect. Networks.

[13]  Abdel Elah Al-Ayyoub,et al.  Topological Properties of OTIS-Networks , 2002, IEEE Trans. Parallel Distributed Syst..

[14]  Abdel Elah Al-Ayyoub,et al.  Product-closed networks , 1998, J. Syst. Archit..

[15]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[16]  Emmanouel A. Varvarigos,et al.  Macro-star networks: efficient low-degree alternatives to star graphs for large-scale parallel architectures , 1996, Proceedings of 6th Symposium on the Frontiers of Massively Parallel Computation (Frontiers '96).