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Electronic Colloquium on Computational Complexity

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TR05-080 | 21st July 2005
Michael R. Fellows, Frances A. Rosamond, Udi Rotics, Stefan Szeider

Proving NP-hardness for clique-width I: non-approximability of sequential clique-width

Revisions: 1

Clique-width is a graph parameter, defined by a composition mechanism
for vertex-labeled graphs, which measures in a certain sense the
complexity of a graph. Hard graph problems (e.g., problems
expressible in Monadic Second Order Logic, that includes NP-hard
problems) can be solved efficiently for graphs of certified small
clique-width. It ... more >>>


TR05-079 | 25th July 2005
Stasys Jukna

Expanders and time-restricted branching programs

The \emph{replication number} of a branching program is the minimum
number R such that along every accepting computation at most R
variables are tested more than once. Hence 0\leq R\leq n for every
branching program in n variables. The best results so far were
exponential ... more >>>


TR05-078 | 25th May 2005
Kooshiar Azimian, Javad Mohajeri, Mahmoud Salmasizadeh, Siamak Fayyaz

A Verifiable Partial Key Escrow, Based on McCurley Encryption Scheme

Revisions: 1

In this paper, firstly we propose two new concepts concerning the notion of key escrow encryption schemes: provable partiality and independency. Roughly speaking we say that a scheme has provable partiality if existing polynomial time algorithm for recovering the secret knowing escrowed information implies a polynomial time algorithm that can ... more >>>



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