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Electronic Colloquium on Computational Complexity

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All reports by Author Jörg Rothe:

TR06-078 | 12th June 2006
Tobias Riege, Jörg Rothe

Improving Deterministic and Randomized Exponential-Time Algorithms for the Satisfiability, the Colorability, and the Domatic Number Problem

Revisions: 1

NP-complete problems cannot have efficient algorithms unless P = NP. Due to their importance in practice, however, it is useful to improve the known exponential-time algorithms for NP-complete problems. We survey some of the recent results on such improved exponential-time algorithms for the NP-complete problems satisfiability, graph colorability, and the ... more >>>

TR06-036 | 7th February 2006
Tobias Riege, Jörg Rothe

Completeness in the Boolean Hierarchy: Exact-Four-Colorability, Minimal Graph Uncolorability, and Exact Domatic Number Problems

Revisions: 1

This paper surveys some of the work that was inspired by Wagner's general technique to prove completeness in the levels of the boolean hierarchy over NP and some related results. In particular, we show that it is DP-complete to decide whether or not a given graph can be colored with ... more >>>

TR05-146 | 25th November 2005
Gábor Erdèlyi, Tobias Riege, Jörg Rothe

Quantum Cryptography: A Survey

Revisions: 2

We survey some results in quantum cryptography. After a brief
introduction to classical cryptography, we provide the physical and
mathematical background needed and present some fundamental protocols
from quantum cryptography, including quantum key distribution and
quantum bit commitment protocols.

more >>>

TR02-068 | 10th December 2002
Tobias Riege, Jörg Rothe

Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem

Revisions: 2

We prove that the exact versions of the domatic number problem are complete
for the levels of the boolean hierarchy over NP. The domatic number
problem, which arises in the area of computer networks, is the problem of
partitioning a given graph into a maximum number ... more >>>

TR01-096 | 21st November 2001
Jörg Rothe

Some Facets of Complexity Theory and Cryptography: A Five-Lectures Tutorial

Revisions: 1

In this tutorial, selected topics of cryptology and of
computational complexity theory are presented. We give a brief overview
of the history and the foundations of classical cryptography, and then
move on to modern public-key cryptography. Particular attention is
paid to cryptographic protocols and the problem of constructing ... more >>>

TR96-045 | 28th August 1996
Bernd Borchert, Lane A. Hemaspaandra, Jörg Rothe

Powers-of-Two Acceptance Suffices for Equivalence and Bounded Ambiguity Problems

Comments: 2

We study EP, the subclass of NP consisting of those
languages accepted by NP machines that when they accept always have a
number of accepting paths that is a power of two. We show that the
negation equivalence problem for OBDDs (ordered binary decision
diagrams) ... more >>>

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