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Derandomized Graph Products (1996)  (Make Corrections)  (33 citations)
Noga Alon, Uriel Feige, Avi Wigderson, David Zuckerman
Computational Complexity



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Abstract: Berman and Schnitger [10] gave a randomized reduction from approximating MAXSNP problems [24] within constant factors arbitrarily close to 1 to approximating clique within a factor of n^ε (for some ε). This reduction was further studied by Blum [11], who gave it the name randomized graph products. We show that this reduction can be made deterministic (derandomized), using random walks on expander graphs [1]. The main technical contribution of this paper is in lower bounding the... (Update)

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BibTeX entry:   (Update)

N. Alon, U. Feige, A. Wigderson and D. Zuckerman, Derandomized graph products, Comput. Complex., Vol. 5: 60--75, 1995. http://citeseer.ist.psu.edu/alon96derandomized.html   More

@article{ alon95derandomized,
    author = "Noga Alon and Uriel Feige and Avi Wigderson and David Zuckerman",
    title = "Derandomized Graph Products",
    journal = "Computational Complexity",
    volume = "5",
    number = "1",
    pages = "60--75",
    year = "1995",
    url = "citeseer.ist.psu.edu/alon96derandomized.html" }
Citations (may not include all citations):
4212   Computers and Intractability: A Guide to the Theory of NP-Co.. (context) - Garey, Johnson - 1979
773   Reducibility Among Combinatorial Problems (context) - Karp - 1972
403   Proof Verification and Hardness of Approximation Problems - Arora, Lund et al. - 1992
203   Approximating Clique is Almost NP-complete (context) - Feige, Goldwasser et al. - 1991
126   Eigenvalues and expanders (context) - Alon - 1986
122   How to Recycle Random Bits - Impagliazzo, Zuckerman - 1989
88   Deterministic Simulation in Logspace (context) - Ajtai, Koml'os et al. - 1987
84   Simulating BPP Using a General Weak Random Source - Zuckerman - 1991
71   Explicit Constructions of Linear Sized Superconcentrators (context) - Gabber, Galil - 1981
68   Explicit group-theoretical constructions of combinatorial sc.. (context) - Margulis - 1988
63   the Complexity of Approximating the Independent Set Problem (context) - Berman, Schnitger - 1992
60   A Survey of Matrix Theory and Matrix Inequalities (context) - Marcus, Minc - 1964
48   The complexity and approximability of finding maximum feasib.. - Amaldi, Kann
47   Optimization, Approximation, and Complexity Classes (context) - Papadimitriou, Yannakakis - 1991
45   Randomness in Interactive Proofs - Bellare, Goldreich et al. - 1990
33   Probabilistic Checking of Proofs; A New Characterization of .. (context) - Arora, Safra - 1992
26   Approximating maximum independent set in bounded degree grap.. (context) - Berman, Furer - 1994
24   Ramanujan Graphs (context) - Lubotsky, Phillips et al. - 1988
19   Greed is good: approximating independent sets in sparse and .. (context) - Halldorsson, Radhakrishnan - 1994
18   Dispersers, deterministic amplification, and weak random sou.. - Cohen, Wigderson - 1989
17   Better Expansion for Ramanujan Graphs (context) - Kahale - 1992
15   Graph Products and Chromatic Numbers (context) - Linial, Vazirani - 1989
2   The Hardness of Approximate Optima in Lattices, Codes and Li.. (context) - Arora, Babai et al. - 1993



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