Tries and String Matching
Tries and String Matching
Where We've Been
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Fundamental Data Structures
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Isometries
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Red/black trees, B-trees, RMQ, etc.
Red/black trees ¡Ô 2-3-4 trees, binomial
heaps ¡Ô binary numbers, etc.
Amortized Analysis
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Aggregate, banker's, and potential methods.
Where We're Going
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String Data Structures
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Randomized Data Structures
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Using randomness as a building block.
Integer Data Structures
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Data structures for storing and manipulating
text.
Breaking the ¦¸(n log n) sorting barrier.
Dynamic Connectivity
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Maintaining connectivity in an changing world.
String Data Structures
Text Processing
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String processing shows up everywhere:
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Computational biology: Manipulating DNA
sequences.
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NLP: Storing and organizing huge text databases.
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Computer security: Building antivirus databases.
Many problems have polynomial-time solutions.
Goal: Design theoretically and practically
efficient algorithms that outperform brute-force
approaches.
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