| 1 |
Intro, Fibonacci Heaps |
(PDF) |
(PDF) Courtesy of David Andersen, Ioana Dumitriu, and John Dunagan. |
| 2 |
MST with Fibonacci Heaps, Multilevel Bucket Heaps |
(PDF) |
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| 3 |
Van Emde Boas Queues, Splay Trees |
(PDF) |
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| 4 |
Splay Trees |
(PDF) |
(PDF) Courtesy of Jason Rennie, Arvind Sankar, and Jamie Teevan. |
| 5 |
Persistent Data Structures |
(PDF) |
(PDF) Courtesy of Sommer Gentry and Eddie Kohler. |
| 6 |
Suffix Trees |
(PDF) |
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| 7 |
Dynamic Connectivity |
(PDF) |
(PDF) Courtesy of Daniel Barkalow, Ilya Shlyakhter, and Sara Picket. |
| 8 |
Finish Dynamic Connectivity, Start Max-Flow |
(PDF) |
(PDF) |
| 9 |
Max-Flow and Augmenting Path Algorithms |
(PDF) |
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| 10 |
Blocking Flows, Dynamic Trees and Scaling Algorithms |
(PDF) |
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| 11 |
The Push-Relabel Algorithm |
(PDF) |
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| 12 |
Fancier Push-Relabel Algorithms, Min-Cost Flow |
(PDF) |
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| 13 |
Min-Cost Flow Properties, Basic Algorithms |
(PDF) |
(PDF) Courtesy of Maria Minkoff, Sofya Raskhodnikova, and Nati Srebro. |
| 14 |
Min-Cost Flow Algorithms |
(PDF) |
(PDF) Courtesy of Brian Dean and John Jannotti. |
| 15 |
Linear Programming, Formulation and Geometry |
(PDF) |
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| 16 |
Basic Solutions, Simplex Algorithm |
(PDF) |
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| 17 |
Weak Duality |
(PDF) |
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| 18 |
Strong Duality |
(PDF) |
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| 19 |
Complementary Slackness |
(PDF) |
(PDF) |
| 20 |
Ellipsoid Algorithm, Separation versus Optimization, Interior Point |
(PDF) |
(PDF) Courtesy of Dave Manz, Andrew Glenn, and Wes Chao. |
| 21 |
Computational Geometry, Seidel's Linear Programming Algorithm, Plane Sweep Algorithms, Range Query Data Structure |
(PDF) |
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| 22 |
Computational Geometry, More Sweep Algorithms: Convex Hull, Halfspace Intersection by Duality, Voronoi Diagrams |
(PDF) |
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| 23 |
Online Algorithms, Ski Rental, Linked-list Traversal, Load Balancing |
(PDF) |
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| 24 |
Paging |
(PDF) |
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| Notes from Previous Course Offering |
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Interior Point Algorithms, Online Algorithms |
(PDF) |
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Randomized Online Algorithms |
(PDF) |
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Approximation Algorithms |
(PDF) |
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TSP and Knapsack, Polynomial Approximation Schemes |
(PDF) |
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Linear Programming Formulations |
(PDF) |
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