SIAM Journal on Computing
The art of computer programming, volume 3: (2nd ed.) sorting and searching
The art of computer programming, volume 3: (2nd ed.) sorting and searching
Compression of Low Entropy Strings with Lempel--Ziv Algorithms
SIAM Journal on Computing
An analysis of the Burrows—Wheeler transform
Journal of the ACM (JACM)
Application of Lempel--Ziv factorization to the approximation of grammar-based compression
Theoretical Computer Science
Efficient algorithms for new computational models
Efficient algorithms for new computational models
Inverting the Burrows—Wheeler transform
Journal of Functional Programming
On the Streaming Model Augmented with a Sorting Primitive
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Lower bounds for sorting with few random accesses to external memory
Proceedings of the twenty-fourth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Large alphabets and incompressibility
Information Processing Letters
Data streams: algorithms and applications
Foundations and Trends® in Theoretical Computer Science
ACM Computing Surveys (CSUR)
Tight lower bounds for query processing on streaming and external memory data
Theoretical Computer Science
Machine models and lower bounds for query processing
Proceedings of the twenty-sixth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
An Optimal Cache-Oblivious Priority Queue and Its Application to Graph Algorithms
SIAM Journal on Computing
Theoretical Computer Science
Geometric Burrows-Wheeler Transform: Linking Range Searching and Text Indexing
DCC '08 Proceedings of the Data Compression Conference
On the Value of Multiple Read/Write Streams for Approximating Frequency Moments
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
On the Value of Multiple Read/Write Streams for Data Compression
CPM '09 Proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching
Space-efficient substring occurrence estimation
Proceedings of the thirtieth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Lightweight Data Indexing and Compression in External Memory
Algorithmica - Special Issue: Theoretical Informatics
Grammar-based compression in a streaming model
LATA'10 Proceedings of the 4th international conference on Language and Automata Theory and Applications
Redundancy of the Lempel-Ziv incremental parsing rule
IEEE Transactions on Information Theory
A universal algorithm for sequential data compression
IEEE Transactions on Information Theory
Compression of individual sequences via variable-rate coding
IEEE Transactions on Information Theory
Complexity of strings in the class of Markov sources
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
MFCS'07 Proceedings of the 32nd international conference on Mathematical Foundations of Computer Science
Move-to-front, distance coding, and inversion frequencies revisited
CPM'07 Proceedings of the 18th annual conference on Combinatorial Pattern Matching
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We study whether, when restricted to using polylogarithmic memory and polylogarithmic passes, we can achieve qualitatively better data compression with multiple read/write streams than we can with only one. We first show how we can achieve universal compression using only one pass over one stream. We then show that one stream is not sufficient for us to achieve good grammar-based compression. Finally, we show that two streams are necessary and sufficient for us to achieve entropy-only bounds.