Fundamental Algorithms, G22.1170
Fall 2005


This course emphasizes the basic algorithmic techniques for efficient algorithms, and the analytical tools for understanding them. There might be a small amount of programming in Java. We will distribute lecture notes (Lect 1, Lect 2, etc). There are no required textbooks, but if you want to refer to one, we recommend Cormen, Leiserson, Rivest, Stein [CLRS]. There is usually a good matching chapter in [CLRS] to each of our topics below.

The following outline gives the sequence of lecture topics. Each topic is covered in 1-2 weeks. The "week indicator" is a rough guide only.

Each topic will have an associated set of Lecture Notes. These notes may contain more information than will be covered in class -- a separate Reading Guide will tell you what is required.

We strongly suggest reading ahead: this kind of reading does not require full understanding, but gives you a general orientation. Just read as far as you can, starting from the introduction (even 10 minutes of reading just before class would be helpful).
Week TOPIC Chapter, Comments
1 Background Lect 1. Asymptotic Notation must be mastered
2 Recurrences Lect 2. Know the techniques leading to the Master Theorem
3 Search Trees Lect 3. AVL Trees. (a,b)-Trees. Sorting.
4 Pure Graph Algorithms Lect 4. BFS, DFS, Topological Sort, Strong Components
5 Greedy Algorithms Lect 5. Huffman Tree, MST
6 Amortization Lect 6. Splay Trees, Applications.
7 Dynamic Programming Lect 7. String Problems, Optimal Triangulation
8 Probabilistic Algorithms Lect 8,10. Randomized Search Trees
9 Hashing Lect 11. Basic concepts, Universal hashing
10 Shortest Paths Lect 14. Dijkstra, Floyd-Warshall, Transitive Closure
11 NP-Completeness Lect 30. Basic Concepts of Complexity Theory