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Hidden Cliques as Cryptographic Keys (1996)  (Make Corrections)  (1 citation)
Ari Juels Marcus Peinado August 22, 1996



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Abstract: We demonstrate in this paper a very simple method for "hiding" large cliques in random graphs. While the largest clique in a random graph is very likely to be of size about 2 log 2 n, it is widely conjectured that no polynomial-time algorithm exists which finds a clique of size (1 + ffl) log 2 n with significant probability for any constant ffl ? 0. We show that if this conjecture is true, then when a clique of size at most (2 \Gamma ffi ) log 2 n for constant ffi ? 0 is randomly inserted... (Update)

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.... clique in a graph, a problem that has been suggested, due to its difficulty, to hide information in some cryptographic protocols [Jue96]. Coudert applied his algorithm on a large set of real life examples. However, he did not provide experimental results for most graph classes...

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BibTeX entry:   (Update)

Juels, A., Peinado M. Hidden cliques as cryptographic keys. Technical report, UC Berkeley, 1996. http://citeseer.ist.psu.edu/juels96hidden.html   More

@techreport{ juels96hidden,
    author = "Ari Juels and Marcus Peinado",
    title = "Hidden Cliques as Cryptographic Keys",
    number = "CSD-96-912",
    pages = "8",
    year = "1996",
    url = "citeseer.ist.psu.edu/juels96hidden.html" }
Citations (may not include all citations):
283   Random Graphs (context) - Bollob'as - 1985
32   Large cliques elude the Metropolis process (context) - Jerrum - 1992
31   Testing of the long code and hardness for clique (context) - Hastad - 1996
30   Probabilistic analysis of some combinatorial search problems (context) - Karp - 1976
15   and Paul Erdos (context) - Alon, Spencer - 1992
1   Approximation Algorithms for Maxclique and Maxcut and their .. (context) - Peinado - 1995

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