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MIT 6.851: Advanced Data Structures →0/22
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1. Persistent Data Structures

1:23:43
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2. Retroactive Data Structures

1:18:39
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3. Geometric Structures I

1:19:35
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4. Geometric Structures II

1:22:09
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5. Dynamic Optimality I

1:22:44
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6. Dynamic Optimality II

1:23:31
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7. Memory Hierarchy Models

1:22:54
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8. Cache-Oblivious Structures I

1:27:21
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Lecture 9: Cache-Oblivious Structures II (6.851)

1:24:38
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Lecture 10: Dictionaries (6.851)

1:23:28
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Lecture 11: Integer Models (6.851)

1:21:15
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Lecture 12: Fusion Trees (6.851)

1:24:09
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Lecture 13: Integer Lower Bounds (6.851)

1:22:10
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Lecture 14: Sorting in Linear Time (6.851)

1:24:03
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Lecture 15: Static Trees (6.851)

1:23:00
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Lecture 16: Strings (6.851)

1:24:30
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Lecture 17: Succinct Structures I (6.851)

1:20:11
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Lecture 18: Succinct Structures II (6.851)

1:24:05
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Lecture 19: Dynamic Graphs I (6.851)

1:14:44
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Lecture 20: Dynamic Graphs II (6.851)

1:24:47
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Lecture 21: Dynamic Connectivity Lower Bound (6.851)

1:22:18
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Lecture 22: History of Memory Models (6.851)

59:24

Lecture 13: Integer Lower Bounds (6.851)

Erik DemaineMIT

Professor

1:22:10·2013·graduate level

This lecture establishes integer data structure lower bounds, proving the optimality of van Emde Boas and fusion trees for static predecessor structures, up to a log log factor, under polynomial space constraints.

Theory & AlgosAlgorithms & Data StructuresComputational ComplexityLower BoundsPredecessor Problem

MIT 6.851 Advanced Data Structures, Spring 2012

View the complete course: http://ocw.mit.edu/6-851S12

Instructor: Erik Demaine

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Lecture 12: Fusion Trees (6.851)

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Lecture 14: Sorting in Linear Time (6.851)

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