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References

1
W. A. AIELLO, F. T. LEIGHTON, B. M. MAGGS, AND M. NEWMAN, Fast algorithms for bit-serial routing on a hypercube, Mathematical Systems Theory, 24 (1991), pp. 253-271.

2
M. AJTAI, J. KOMLfOS, AND E. SZEMERfEDI, Sorting in tex2html_wrap_inline2941 parallel steps, Combinatorica, 3 (1983), pp. 1-19.

3
L. A. BASSALYGO AND M. S. PINSKER, Complexity of an optimum nonblocking switching network without reconnections, Problems of Information Transmission, 9 (1974), pp. 64-66.

4
height 2pt depth -1.6pt width 23pt, Asymptotically optimal networks for generalized rearrangeable switching and generalized switching without rearrangement, Problemy Peredachi Informatsii, 16 (1980), pp. 94-98.

5
B. BEIZER, The analysis and synthesis of signal switching networks, in Proceedings of the Symposium on Mathematical Theory of Automata, Brooklyn, NY, 1962, Brooklyn Polytechnic Institute, pp. 563-576.

6
V. E. BENE\VS, Optimal rearrangeable multistage connecting networks, Bell System Technical Journal, 43 (1964), pp. 1641-1656.

7
D. G. CANTOR, On construction of non-blocking switching networks, in Proceedings of the Symposium on Computer Communication Networks and Teletraffic, Brooklyn, NY, 1972, Brooklyn Polytechnic Institute, pp. 253-255.

8
D. DOLEV, C. DWORK, N. PIPPENGER, AND A. WIDGERSON, Superconcentrators, generalizers and generalized connectors with limited depth, in Proceedings of the 15th Annual ACM Symposium on Theory of Computing, Apr. 1983, pp. 42-51.

9
P. FELDMAN, J. FRIEDMAN, AND N. PIPPENGER, Non-blocking networks, in Proceedings of the 18th Annual ACM Symposium on Theory of Computing, May 1986, pp. 247-254.

10
height 2pt depth -1.6pt width 23pt, Wide-sense nonblocking networks, SIAM Journal of Discrete Mathematics, 1 (1988), pp. 158-173.

11
J. FRIEDMAN, A lower bound on strictly non-blocking networks, Combinatorica, 8 (1988), pp. 185-188.

12
A. V. GOLDBERG, B. M. MAGGS, AND S. A. PLOTKIN, A parallel algorithm for reconfiguring a multibutterfly network with faulty switches, IEEE Transactions on Computers, 43 (1994), pp. 321-326.

13
N. KAHALE, Better expansion for Ramanujan graphs, in Proceedings of the 32nd Annual Symposium on Foundations of Computer Science, IEEE Computer Society Press, Oct. 1991, pp. 398-404.

14
C. P. KRUSKAL AND M. SNIR, A unified theory of interconnection network structure, Theoretical Computer Science, 48 (1986), pp. 75-94.

15
F. T. LEIGHTON, Parallel computation using meshes of trees, in 1983 Workshop on Graph-Theoretic Concepts in Computer Science, Linz, 1984, Trauner Verlag, pp. 200-218.

16
height 2pt depth -1.6pt width 23pt, Introduction to Parallel Algorithms and Architectures: Arrays tex2html_wrap_inline2943 Trees tex2html_wrap_inline2945 Hypercubes, Morgan Kaufmann, San Mateo, CA, 1992.

17
F. T. LEIGHTON AND B. M. MAGGS, Fast algorithms for routing around faults in multibutterflies and randomly-wired splitter networks, IEEE Transactions on Computers, 41 (1992), pp. 578-587.

18
T. LEIGHTON, C. E. LEISERSON, AND D. KRAVETS, Theory of parallel and VLSI computation, Research Seminar Series Report MIT/LCS/RSS 8, MIT Laboratory for Computer Science, May 1990.

19
T. LEIGHTON, D. LISINSKI, AND B. MAGGS, Empirical evaluation of randomly-wired multistage networks, in Proceedings of the 1990 IEEE International Conference on Computer Design: VLSI in Computers & Processors, IEEE Computer Society Press, Sept. 1990, pp. 380-385.

20
T. LEIGHTON AND G. PLAXTON, A (fairly) simple circuit that (usually) sorts, in Proceedings of the 31st Annual Symposium on Foundations of Computer Science, IEEE Computer Society Press, Oct. 1990, pp. 264-274.

21
C. E. LEISERSON, Fat-trees: universal networks for hardware-efficient supercomputing, IEEE Transactions on Computers, C-34 (1985), pp. 892-901.

22
G. LIN AND N. PIPPENGER, Parallel algorithms for routing in non-blocking networks, in Proceedings of the 3rd Annual ACM Symposium on Parallel Algorithms and Architectures, July 1991, pp. 272-277.

23
G. A. MARGULIS, Explicit constructions of concentrators, Problems of Information Transmission, 9 (1973), pp. 325-332.

24
G. M. MASSON AND B. W. JORDAN, JR., Generalized multi-stage connection networks, Networks, 2 (1972), pp. 191-209.

25
D. NASSIMI AND S. SAHNI, Parallel permutation and sorting algorithms and a new generalized connection network, Journal of the ACM, 29 (1982), pp. 642-667.

26
Y. P. OFMAN, A universal automaton, Transactions of the Moscow Mathematical Society, 14 (1965), pp. 186-199.

27
D. PELEG AND E. UPFAL, Constructing disjoint paths on expander graphs, in Proceedings of the 19th Annual ACM Symposium on Theory of Computing, May 1987, pp. 264-273.

28
N. PIPPENGER, The complexity theory of switching networks, PhD thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 1973.

29
height 2pt depth -1.6pt width 23pt, On rearrangeable and nonblocking switching networks, Journal of Computer and System Sciences, 17 (1978), pp. 145-162.

30
height 2pt depth -1.6pt width 23pt, Telephone switching networks, in Proceedings of Symposia in Applied Mathematics, vol. 26, 1982, pp. 101-133.

31
height 2pt depth -1.6pt width 23pt, Self-routing superconcentrators, in Proceedings of the 25th Annual ACM Symposium on the Theory of Computing, May 1993, pp. 355-361.

32
N. PIPPENGER AND L. G. VALIANT, Shifting graphs and their applications, Journal of the ACM, 23 (1976), pp. 423-432.

33
N. PIPPENGER AND A. C. YAO, Rearrangeable networks with limited depth, SIAM Journal of Algebraic and Discrete Methods, 3 (1982), pp. 411-417.

34
J. H. REIF AND L. G. VALIANT, A logarithmic time sort for linear size networks, Journal of the ACM, 34 (1987), pp. 60-76.

35
C. E. SHANNON, Memory requirements in a telephone exchange, Bell System Technical Journal, 29 (1950), pp. 343-349.

36
J. S. TURNER, Practical wide-sense nonblocking generalized connectors, Technical Report WUCS-88-29, Department of Computer Science, Washington University, St. Louis, MO, 1988.

37
E. UPFAL, An tex2html_wrap_inline2947 deterministic packet routing scheme, in Proceedings of the 21st Annual ACM Symposium on Theory of Computing, May 1989, pp. 241-250.

38
A. WAKSMAN, A permutation network, Journal of the ACM, 15 (1968), pp. 159-163.


Bruce Maggs
Mon Jul 22 21:19:59 EDT 1996