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Electronic Colloquium on Computational Complexity

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TR06-141 | 22nd November 2006
Venkatesan Guruswami, Kunal Talwar

Hardness of Low Congestion Routing in Directed Graphs

We prove a strong inapproximability result for routing on directed
graphs with low congestion. Given as input a directed graph on $N$
vertices and a set of source-destination pairs that can be connected
via edge-disjoint paths, we prove that it is hard, assuming NP
doesn't have $n^{O(\log\log n)}$ time randomized ... more >>>


TR06-140 | 8th November 2006
Paul Beame, Russell Impagliazzo, Nathan Segerlind

Formula Caching in DPLL

We consider extensions of the DPLL approach to satisfiability testing that add a version of memoization, in which formulas that the algorithm has previously shown to be unsatisfiable are remembered for later use. Such formula caching algorithms have been suggested for satisfiability and stochastic satisfiability. We formalize these methods by ... more >>>


TR06-139 | 14th November 2006
Shien Jin Ong, Salil Vadhan

Zero Knowledge and Soundness are Symmetric

Revisions: 1

We give a complexity-theoretic characterization of the class of problems in NP having zero-knowledge argument systems that is symmetric in its treatment of the zero knowledge and the soundness conditions. From this, we deduce that the class of problems in NP intersect coNP having zero-knowledge arguments is closed under complement. ... more >>>



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