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» On Superlinear Lower Bounds in Complexity Theory
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ICALP
2004
Springer
14 years 1 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
COMPGEOM
2009
ACM
14 years 9 days ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
FOCS
2006
IEEE
14 years 1 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
JCSS
2008
96views more  JCSS 2008»
13 years 7 months ago
A combinatorial characterization of resolution width
We provide a characterization of the resolution width introduced in the context of propositional proof complexity in terms of the existential pebble game introduced in the context...
Albert Atserias, Víctor Dalmau
ICDT
2009
ACM
147views Database» more  ICDT 2009»
14 years 8 months ago
The average-case complexity of counting distinct elements
We continue the study of approximating the number of distinct elements in a data stream of length n to within a (1? ) factor. It is known that if the stream may consist of arbitra...
David P. Woodruff