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» Upper Bounds for Vertex Cover Further Improved
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ECCC
2010
108views more  ECCC 2010»
13 years 4 months ago
Improved bounds for the randomized decision tree complexity of recursive majority
We consider the randomized decision tree complexity of the recursive 3-majority function. For evaluating a height h formulae, we prove a lower bound for the -two-sided-error rando...
Frédéric Magniez, Ashwin Nayak, Mikl...
DLT
2007
13 years 8 months ago
Inapproximability of Nondeterministic State and Transition Complexity Assuming P=!NP
Abstract. Inapproximability results concerning minimization of nondeterministic finite automata relative to given deterministic finite automata were obtained only recently, modul...
Hermann Gruber, Markus Holzer
ALGORITHMICA
2010
156views more  ALGORITHMICA 2010»
13 years 7 months ago
On Covering Problems of Rado
T. Rado conjectured in 1928 that if S is a finite set of axis-parallel squares in the plane, then there exists an independent subset I S of pairwise disjoint squares, such that I ...
Sergey Bereg, Adrian Dumitrescu, Minghui Jiang
TALG
2008
93views more  TALG 2008»
13 years 7 months ago
Limitations of cross-monotonic cost-sharing schemes
A cost-sharing scheme is a set of rules defining how to share the cost of a service (often computed by solving a combinatorial optimization problem) amongst serviced customers. A ...
Nicole Immorlica, Mohammad Mahdian, Vahab S. Mirro...
IPCO
1993
98views Optimization» more  IPCO 1993»
13 years 8 months ago
A spectral approach to bandwidth and separator problems in graphs
Lower bounds on the bandwidth, the size of a vertex separator of general undirected graphs, and the largest common subgraph of two undirected (weighted) graphs are obtained. The b...
Christoph Helmberg, Bojan Mohar, Svatopluk Poljak,...