Efficient mapping scheme of ring topology onto tree-hypercubes

被引:0
作者
Almobaideen, Wesam [1 ]
Qatawneh, Mohammad [1 ]
Sleit, Azzam [1 ]
Salah, Imad [1 ]
Al-Sharaeh, Saleh [1 ]
机构
[1] Department of Computer Science, King Abdulla II School for Informationa Technology, University of Jordan, Amman
关键词
Hamiltonian cycle; Linear array; Mapping; Ring; Tree-hypercube network;
D O I
10.3923/jas.2007.2666.2670
中图分类号
学科分类号
摘要
The Tree-hypercubes network TH(s, d) is an interconnection network that is recursively defined and has excellent properties for scalable message passing computer systems. In this study we describe the ability of a TH(s, d) to implement algorithms that use the communication pattern of linear array and a ring to formulate a Hamiltonian cycle. We propose an algorithm for mapping a ring onto a tree-hypercubes which results in a dilation and congestion of one. © 2007 Asian Network for Scientific Information.
引用
收藏
页码:2666 / 2670
页数:4
相关论文
共 12 条
  • [1] Caha R., Koubek V., Hamiltonian cycles and paths with a prescribed set of edges in hypercubes and dense sets, J. Graph Theory, 51, pp. 137-169, (2005)
  • [2] Chang H.Y., Chen R.J., Embedding cycles in IEH graphs, Inform. Proc. Lett, 64, pp. 23-27, (1997)
  • [3] Goldie A.W., Krause G., Embedding rings with Krull dimension in artinian rings, J. Algebra, 182, pp. 534-545, (1996)
  • [4] Gupta A., Embedding trees into low dimensional Euclidean spaces, Discrete Comput. Geom, 24, pp. 105-116, (2000)
  • [5] Johnson S.L., Communication efficient basic linear algebra computations on hypercube architectures, J. Parallel Distributed Computing, 4, pp. 133-172, (1987)
  • [6] Kurose J.F., Ross K.W., Computer Networking, A Top-Down Approach Featuring the Internet, (2005)
  • [7] Leighton F.T., Introduction to Parallel Algorithms and Architecture: Arrays, (1992)
  • [8] Omari M., Abu-Salem H., Tree-Hypercubes: A Multiprocessor Interconnection Topology, Abhath Al-Yarmouk, 6, pp. 9-24, (1997)
  • [9] Ouyang P., Palem K.V., Very efficient cyclic shifts on hypercubes, Proceedings of Symposium on Parallel and Distributed Processing, pp. 556-563, (1991)
  • [10] Qatawneh M., Embedding linear array onto tree-hypercube network, Eur. J. Sci. Res, 10, (2005)