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» Tight Lower Bounds for the Distinct Elements Problem
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ESA
1999
Springer
110views Algorithms» more  ESA 1999»
15 years 8 months ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
16 years 4 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
FOCS
2003
IEEE
15 years 9 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
TALG
2010
74views more  TALG 2010»
15 years 2 months ago
Comparison-based time-space lower bounds for selection
We establish the first nontrivial lower bounds on timespace tradeoffs for the selection problem. We prove that any comparison-based randomized algorithm for finding the median ...
Timothy M. Chan
FOCS
2007
IEEE
15 years 10 months ago
Lower Bounds on Streaming Algorithms for Approximating the Length of the Longest Increasing Subsequence
We show that any deterministic data-stream algorithm that makes a constant number of passes over the input and gives a constant factor approximation of the length of the longest i...
Anna Gál, Parikshit Gopalan