# Subsequences

### Strings with maximally many distinct subsequences andsubstrings

Strings with maximally many distinct **subsequences** andsubstrings Abraham Flaxman Department of Mathematical Sciences Carnegie Mellon University Pittsburgh PA, USA [email protected] AramW.

www.combinatorics.org

### A Linear Time Algorithm for Finding All Maximal Scoring ...

A Linear Time Algorithm for Finding All MaximalScoring **Subsequences** Walter L. Ruzzo and Martin Tompa Department of Computer Science and Engineering Box 352350 University of Washington Seattle, WA 98195-2350, U.S.A. ruzzo,[email protected] Abstract Given a sequence of real numbers ("scores ...

www.aaai.org

### Clustering of Time Series Subsequences is Meaningless ...

Clustering of Time Series **Subsequences** is Meaningless: Implications for Previous and Future Research Eamonn Keogh Jessica Lin Computer Science & Engineering Department University of California - Riverside Riverside, CA 92521 {eamonn, jessica}@cs. ucr. edu Abstract Given the recent explosion of ...

www.cs.ucr.edu

### Longest increasing subsequence

See also • Erdős-Szekeres theorem, showing that any sequence of n 2 +1 distinct integers has either an increasing or a decreasing subsequence of length n +1. • Patience sorting, another efficient technique for finding longest increasing **subsequences** • Plactic monoid • Anatoly Vershik, a Russian ...

www.alice-dsl.net

### The minimum number of monotone subsequences

The minimum number of monotone **subsequences** Joseph Samuel Myers Department of Pure Mathematics and Mathematical Statistics Centre for Mathematical Sciences Wilberforce Road Cambridge CB30WB United Kingdom [email protected] cam.ac.uk Submitted: Jul 4,2002; Accepted: Nov 25,2002; Published: Dec 13 ...

www.combinatorics.org

### Finding Longest Increasing and Common Subsequences in ...

Finding Longest Increasing and Common **Subsequences** in Streaming Data David Li ben-Now ell y [email protected] Erik Ve e z [email protected] An Zh u x [email protected] November 26,2003 Abstract In this paper, we present algorithms and lower bounds for the Longest Increasing ...

infolab.stanford.edu

### ABSP/CGM Algorithm for Finding All Maximal Contiguous ...

ABSP/CGM Algorithm for Finding All Maximal Contiguous **Subsequences** ofa Sequence of Numbe r s? C. E. R. Alves 1, E. N. C´aceres 2, and S. W. Song 3 1 Universidade S˜ao Judas Tadeu, S˜ao Paulo, SP, Brazil [email protected] 2 Universidade Fed. de Mato Grossodo Sul, Campo Grande, MS ...

www.ime.usp.br

### Faster Algorithms for Computing Longest Common Increasing ...

max planckinstitut informatik Faster Algorithms for Computing Longest Common Increasing **Subsequences** Gerth Stølting Brodal Irit Katriel BRICS, University of Aarhus Århus, Denmark Kanela Kaligosi Martin Kutz Max-Planck Institutfür Informatik Saarbrücken, Germany Martin Kutz: Faster Algorithms ...

www.cs.ucr.edu

### Sections8.2: Subsequences, Bounded Sequences, and

Sections8.2: **Subsequences**, Bounded Sequences, and Picard'sMethod Deflnition: S n is an increasing (decreasing) sequence if s n+1 ‚ (•) s n 8n. If the inequality is exact (<, or>), then we say the sequence is strictly increasing or decreasing.

www.uwec.edu

### Identification of Most Frequent Subsequences

Identification of Most Frequent **Subsequences** CSE 549Computational Biology Project Final Report Mikhail Bautin [email protected] December 14,2006 1 Introduction In this project we approached the problem of identification of the most frequent sequence in a string.

bautin.net

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