Abstract
By a connecting system we shall mean a physical communication system consisting of (i) a set of terminals, (ii) control units which process requests for connections between pairs of terminals, and (iii) a connecting network through which the connections are effected. The connecting network is an arrangement of arrays of crosspoints (called crossbars or switches) and transmission links through which certain terminals can be connected together in many combinations.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
V.E. Benes. Mathematical Theory of Connecting Networks and Telephone Traffic. Mathematics in Science and Engineering, Vol. 17. Academic Press, New York, 1965.
S.-P. Chung and K.W. Ross. On nonblocking multirate interconnection networks. SIAM Journal on Computing, 20: 726–736, 1991.
C. Clos. A study of non-blocking switching networks. The Bell System Technical Journal, 32: 406–424, 1953.
D. de Werra. Balanced schedules. INFOR. Canadian Journal of Operational Research and Information Processing, 9: 230–237, 1971.
D.Z. Du, P.C. Fishburn, B. Gao, and F.K. Hwang. Wide-sense non-blocking for 3-stage Clos networks. Technical report, Department of Computer Science, University of Minnesota, 1995.
D.Z. Du, B. Gao, F.K. Hwang, and J.H. Kim. On multirate rearrange-able Clos networks. SIAM Journal of Computing, 28: 463–470, 1999.
D.Z. Du, X.D. Hu, G.-H. Lin, H.Z. Shi, and S.X. Gao. On wide-sense nonblocking in 1-rate environment for 3-stage Clos networks. Technical report, Institute of Applied Mathematics, Chinese Academy of Sciences, 1997.
A.M. Duguid. Structural properties of switching networks. Progr. rept. BTL-7, Brown Univ., 1959.
P.C. Fishburn, F.K. Hwang, D.Z. Du, and B. Gao. On 1-rate wide-sense nonblocking for 3-stage Clos networks. Discrete Applied Mathematics, 78: 75–87, 1997.
B. Gao and F.K. Hwang. Wide-sense nonblocking for multirate 3-stage Clos networks. Theoretical Computer Sciences, 182: 171–182, 1997.
A. Jajszczyk. On nonblocking switching networks composed of digital symmetrical matrices. IEEE Transactions on Communications, COM 31: 2–9, 1983.
D.S. Kim and D.Z. Du. Multirate broadcast switching networks non-blocking in a wide sense. In Advances in Switching Networks, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 42, pages 59–74. American Mathematics Society, Providence, RI, 1998.
D.S. Kim and D.Z. Du. Multirate multicast switching networks. In Proceedings of the Fourth Annual International Computing and Combinatorics Conference (COCOON’98), LNCS, pages 219–228, 1998.
G.-H. Lin, D.-Z. Du, X.-D. Hu, and G. Xue. On rearrangeability of multirate Clos networks. SIAM Journal on Computing, 28: 1225–1231, 1999.
G.-H. Lin, D.Z. Du, W. Wu, and K. Yoo. On 3-rate rearrangeability of Clos networks. In Advances in Switching Networks, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 42, pages 315–333. American Mathematics Society, Providence, RI, 1998.
G.-H. Lin, D.S. Kim, and D.Z. Du. Strictly nonblocking multirate multi-cast Clos networks. In Proceedings of the 10th International Conference on Parallel and Distributed Computing and Systems, pages 417–420, 1998.
R. Melen and J.S. Turner. Nonblocking multirate networks. SIAM Journal on Computing, 18: 301–313, 1989.
G. Niestegge. Nonblocking multirate switching networks. In M. Bonatti and M. Decina, editors, Traffic Engineering for ISDN Designing and Planning, Elsevier, Amsterdam, 1988.
M.C. Paull. Reswitching of connection networks. The Bell System Technical Journal, 41: 833–855, 1962.
D. Slepian. Two problems on a particular crossbar switching network. Unpublished manuscript, 1952.
Y. Yang and G.M. Masson. Nonblocking broadcast switching networks. IEEE Transactions on Computers, 40: 1005–1015, 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this chapter
Cite this chapter
Lin, GH. (2001). Nonblocking Routing Properties of Clos Networks. In: Du, D.Z., Ngo, H.Q. (eds) Switching Networks: Recent Advances. Network Theory and Applications, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0281-0_6
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0281-0_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7976-8
Online ISBN: 978-1-4613-0281-0
eBook Packages: Springer Book Archive