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FOCS
2007
IEEE
13 years 11 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
COCOON
2005
Springer
13 years 10 months ago
Finding Longest Increasing and Common Subsequences in Streaming Data
In this paper, we present algorithms and lower bounds for the Longest Increasing Subsequence (LIS) and Longest Common Subsequence (LCS) problems in the data streaming model. For t...
David Liben-Nowell, Erik Vee, An Zhu
ECCC
2010
98views more  ECCC 2010»
13 years 4 months ago
A Note on Randomized Streaming Space Bounds for the Longest Increasing Subsequence Problem
The deterministic space complexity of approximating the length of the longest increasing subsequence of a stream of N integers is known to be ( N). However, the randomized comple...
Amit Chakrabarti
SODA
2008
ACM
111views Algorithms» more  SODA 2008»
13 years 6 months ago
On distance to monotonicity and longest increasing subsequence of a data stream
In this paper we consider problems related to the sortedness of a data stream. First we investigate the problem of estimating the distance to monotonicity; given a sequence of len...
Funda Ergün, Hossein Jowhari
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 5 months ago
Average case analysis for batched disk scheduling and increasing subsequences
We consider the problem of estimating the tour length and finding approximation algorithms for the asymmetric traveling salesman problem arising from the disk scheduling problem. ...
Eitan Bachmat