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MST
2006
99views more  MST 2006»
13 years 4 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
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...
Tobias Riege, Jörg Rothe
JUCS
2006
94views more  JUCS 2006»
13 years 4 months ago
Completeness in the Boolean Hierarchy: Exact-Four-Colorability, Minimal Graph Uncolorability, and Exact Domatic Number Problems
: 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 res...
Tobias Riege, Jörg Rothe
CORR
2008
Springer
88views Education» more  CORR 2008»
13 years 4 months ago
Efficient Algorithms for Membership in Boolean Hierarchies of Regular Languages
Abstract. The purpose of this paper is to provide efficient algorithms that decide membership for classes of several Boolean hierarchies for which efficiency (or even decidability)...
Christian Glasser, Heinz Schmitz, Victor L. Seliva...
COCO
1990
Springer
106views Algorithms» more  COCO 1990»
13 years 8 months ago
The Boolean Hierarchy and the Polynomial Hierarchy: a Closer Connection
We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses to BH3(k), where BH3(k) is the kth level of the Boolean hierarchy over P 2 . Th...
Richard Chang, Jim Kadin