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MFCS
2005
Springer
13 years 10 months ago
Canonical Disjoint NP-Pairs of Propositional Proof Systems
We prove that every disjoint NP-pair is polynomial-time, many-one equivalent to the canonical disjoint NP-pair of some propositional proof system. Therefore, the degree structure ...
Christian Glaßer, Alan L. Selman, Liyu Zhang
MFCS
2005
Springer
13 years 10 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
MFCS
2005
Springer
13 years 10 months ago
Combining Self-reducibility and Partial Information Algorithms
A partial information algorithm for a language A computes, for some fixed m, for input words x1, . . . , xm a set of bitstrings containing χA(x1, . . . , xm). E.g., p-selective, ...
André Hernich, Arfst Nickelsen
MFCS
2005
Springer
13 years 10 months ago
Nondeterministic Graph Searching: From Pathwidth to Treewidth
Abstract. We introduce nondeterministic graph searching with a controlled amount of nondeterminism and show how this new tool can be used in algorithm design and combinatorial anal...
Fedor V. Fomin, Pierre Fraigniaud, Nicolas Nisse
MFCS
2005
Springer
13 years 10 months ago
Complexity of DNF and Isomorphism of Monotone Formulas
We investigate the complexity of finding prime implicants and minimal equivalent DNFs for Boolean formulas, and of testing equivalence and isomorphism of monotone formulas. For DN...
Judy Goldsmith, Matthias Hagen, Martin Mundhenk