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Talk Abstract
Adapting and Applying Simplical Complex Q-Analysis to Studying Sequence Similarity Databases

John V. Carlis
Computer Science and Engineering
University of Minnesota

Q-analysis of simplical complexes is a well known mathematical notion. In this talk I will first restate the problem that Q-analysis addresses in database terms, that is, present a logical data model of the raw data and of derived data. Second, I will show that most of Q-analysis can be done with existing database operators. Third I will introduce new database operators that allow Q-analysis to be done entirely with relational operators. Fourth, I will show Q-analysis applied to sequence similarity data to find paths of connected sequences. Finally, I will demonstrate how relaxing Q-analysis constraints connects it to the more general problem of finding clusters of sequences.

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1998-1999 Mathematics in Biology