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Expanders that beat the eigenvalue bound: explicit construction and applications
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-fifth annual ACM symposium on Theory of computing table of contents
San Diego, California, United States
Pages: 245 - 251  
Year of Publication: 1993
ISBN:0-89791-591-7
Authors
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 21,   Citation Count: 19
Additional Information:

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
AKS1
AKS2
 
AKSS
M. Ajtai, J. Komlos, W. Steiger, and E. Szemeredi, "Almost Sorting in One Round," Advances in Computing Research, Vol. 5, 1989, pp. 117-125.
Alol
 
Alo2
 
AA
 
AM
N. Alon and V.D. Milman, ")#1, Isoperimettic Inequalities for Graphs and Supereoneentrators," J. Combinatorial Theory Ser. B 38 (1985), pp. 73-88.
 
AP
 
BH
B. Bollobas and A. Thomason, "Parallel Sorting," Discrete Appl. Math. 6 (1983), pp. 1-11.
DDPW
 
FFP
 
GG
O. Gabber and Z. Galil, "Explicit Construction of Linear Sized Superconcentrators," J. Comp. and Sys. Sc# 22 (1981), pp. 407-420.
 
GIL+
O. Goldreich, R. Impagliazzo, L. Levin, R. Venkatesan, and D. Zuckerman, "Security Preserving Amplification of Hardness," 31st FOCS, 1990, pp. 318-326.
 
Kah
N. Kahale, "On the Second Eigenvalue and Linear Expansion of Regular Graphs," 33rd FOCS, 1992, pp. 296-303.
 
LPS
A. Lubotzky, R. Philips, P. Sarnak, "Ramanujan Graphs," Combznatorzca 8 (1988), pp. 261-277.
 
Mar
G.A. Margulis, "Explicit Construction of Concentrators," Problems of Inform. Transmission, pp. 325-332.
 
Mes
R. Meshulam, "A Geometric Construction of a Superconcentrator of Depth 2," Theoretical Computer Sczence 32 (1984), pp. 215- 219.
 
Mor
NZ
 
Pip1
N. Pippenger, "Superconcentrators," SIAM J. Comput. 6 (1977), pp. 298-304.
 
Pip2
N. Fippenger, "Superconcentrators of Depth 2," J. Comp. and Sys. Sci. 24 (1982), pp. 82- 90.
 
Pip3
 
PY
N. Pippenger and A.C. Yao, "Rearrangeable Networks with Limited Depth," SIAM J. Algebraic and Discrete Methods 3 (1982), pp. 411-417.
 
Tan
R.M. Tanner, "Explicit Construction of Concentrators from Generalized N-gons," SIAM J. Alg. Discr. Meth. 5 (1984), pp. 287- 293.
 
Tom
M. Tompa, "Time Space Tradeoffs for Computing Functions, Using Connectivity Properties of Their Circuits," J. Comp. and Sys. Sci, 20 (1980), pp. 118-132.
 
Val1
L.G. Valiant, "Parallelism in Comparison Problems," SIAM J. Comput. 4 (1975), pp. 348-355.
 
Val2
L.G. Valiant, "Graph Theoretic Properties in Computational Complexity," J. Comp. and Sys. Sci. 13 (1976), pp. 278-285.
 
Zuc1
D. Zuckerman, "General Weak Random Sources," 31st FOCS, 1990, pp. 534-543.
 
Zuc2

CITED BY  19

Collaborative Colleagues:
Avi Wigderson: colleagues
David Zuckerman: colleagues