This Article 
 Bibliographic References 
 Add to: 
Extended Hypercube: A Hierarchical Interconnection Network of Hypercubes
January 1992 (vol. 3 no. 1)
pp. 45-57
A new interconnection topology-the extended hypercube-consisting of an interconnection network of k-cubes is discussed. The extended hypercube is a hierarchical, expansive, recursive structure with a constant predefined building block. The extended hypercube retains the positive features of the k-cube at different levels of hierarchy and at the same time has some additional advantages like reduced diameter and constant degree of a node. The paper presents an introduction to the topology of the extended hypercube and analyzes its architectural potential in terms of message routing and executing a classof highly parallel algorithms. Topological properties and performance studies of the extended hypercube are presented.

[1] S. Abraham and K. Padmanabhan, "Performance of direct binaryn- cube network for multiprocessors,"IEEE Trans. Comput., vol. 38, pp. 1000-1011, July 1989.
[2] W. C. Athas and C. L. Seitz, "Multicomputers: Message-passing concurrent computers,"IEEE Comput. Mag, pp. 9-24, Aug. 1988.
[3] B. Becker and H.-V. Simon, "How robust is the N-cube?," Tech. Rep., 05/1986, SFB124,BL.
[4] L. N. Bhuyan and D. P. Aggarwal, "Design and analysis of a general class of interconnection networks, " inProc. IEEE Int. Conf. Parallel Processing, Baltimore, MD, Aug. 1982.
[5] L. N. Bhuyan and D. P. Aggarwal, "Generalized hypercube and hyperbus structures for a computer network,"IEEE Trans. Comput., vol. C-33, pp. 323-333, Apr. 1984.
[6] Z. Cvetanovic, "The effect of problem partitioning, allocation, and granularity on the performance of multiple-processor systems,"IEEE Trans. Comput., vol. C-36, Apr. 1987.
[7] M. A. Franklin and S. Dhar, " Interconnection network: Physical design and performance analysis,"J. Parallel Distributed Comput., vol. 3, pp. 352-372, 1986.
[8] K. Ghose and K. R. Desai, "The HCN: A versatile interconnection network based on cubes," inProc. Supercomputing '89, 1989, pp. 426-435.
[9] J. R. Goodman and C. H. Sequin, "Hypertree: A multiprocessor interconnection topology,"IEEE Trans. Comput., vol. C-30, pp.923-932, Dec. 1981.
[10] K. Hwang and J. Ghosh, "Hypernet: A communication-efficient architecture for constructing massively parallel computers,"IEEE Trans. Comput., vol. C-36, pp. 1450-1466, Dec. 1987.
[11] B. Indurkhya, H. S. Stone, and L. Xi-Cheng, "Optimal partitioning of randomly generated distributed programs,"IEEE Trans. Software Eng., vol. SE-12, pp. 483-495, Mar. 1986.
[12] N. Jagadish, J. Mohan Kumar, and L. M. Patnaik "An efficient scheme for interprocessor communication using dual-ported RAMs,"IEEE Micro, pp. 10-19, Oct. 1989.
[13] S. Laksmivarahan, and S.K. Dhall, "A new hierachy of hypercube interconnection schemes for parallel computers,"J. Supercomput., pp. 81-107, Sept. 1988.
[14] R. Miller and Q. F. Stout, "Data movement techniques for the pyramid computer,"SIAM J. Comput., vol. 16, pp. 38-60, 1987.
[15] J. Mohan Kumar, L. M. Patnaik, and D. K. Prasad, "A transputer-based Extended Hypercube,"Microprocessing and Microprogramming, to be published.
[16] F. P. Preparata and J. Vuillemin, "The cube-connected cycle: A versatile network for parallel computation,"Commun. ACM, vol. 24, pp. 300-309, May 1981.
[17] Y. Saad and M. H. Schultz, "Topological properties of hypercubes," Res. Rep. YALEU/DCS/RR-389, Yale Univ., June 1985.
[18] C. L. Seitz, "The Cosmic Cube,"Commun. ACM, pp. 22-33, Jan. 1985.
[19] Q. F. Stout, "Hypercubes and pyramids," inPyramidal Systems for Computer Vision, V. Cantoni and S. Levialdi, Eds. Berlin: Springer, 1986.
[20] A. N. Tantawi, "Performance of a hierarchically interconnected multiprocessor," IBM Res. Rep. 13335, IBM Research Division, 1988.
[21] A. S. Wagner, "Embedding trees in the hypercube," Ph.D. dissertation, Univ. of Toronto, 1987.

Index Terms:
Index Termshierarchical interconnection network; interconnection topology; extended hypercube;recursive structure; message routing; parallel algorithms; hypercube networks; parallelalgorithms
J.M. Kumar, L.M. Patnaik, "Extended Hypercube: A Hierarchical Interconnection Network of Hypercubes," IEEE Transactions on Parallel and Distributed Systems, vol. 3, no. 1, pp. 45-57, Jan. 1992, doi:10.1109/71.113081
Usage of this product signifies your acceptance of the Terms of Use.