School of Computer Science

Prof. Amos Fiat (fiat@cs.tau.ac.il)

Prof. Hanoch Levy (hanoch@cs.tau.ac.il)

Oded Schwartz (odedsc@cs.tau.ac.il) Adi Avidor (adi@post.tau.ac.il)

This page will be modified during the course, and will outline the classes

Intoduction to Algorithms, by Cormen, Leiserson and Rivest.

Data Structures and Algorithms, by Aho, Hopcroft and Ullman.

The course follows both books. Recommended purchase - first book (to be used by other courses).

The course will deal with data strucutres and their use in the design of efficient algorithms.

Subjects: Growth of functions and asymptotic notation; amortized analysis; recurrences: the substitution, master, and iteration methods; elementary strucutres: lists, stacks, queues; trees: ordered trees, binary trees, labeled trees and expression trees; set representation and manipulation; dictionary and hash tables.

**Class 1 :**

Introduction

Recursion (review)**Class 2 :**

Complexity

Master Theorem**Class 3 :**

Elementary Structures: Lists, Stacks, Queues.

Doubling and amortized complexity.**Class 4 :**

Trees: basic concepts. Ordered tress, labeled trees, expression trees. Binary trees and Huffman Coding.**Class 5 :**

Dictionary and Hashing. Open and Closesd Hash. Expected value complexity analysis. Hash functions. Rehashing. Reorganization. Universal Hashing.**Class 6:**

Hash (continue): Perfect Hash.**Class 7:**

Multilist, sparse matrices, multiple-representation of data, Priority Queue (Heaps).**Class 8:**

Binary search trees**Class 9 :**

Red-Black Trees.**Class 10 :**

2-3 trees, B-trees, Merge-find trees**Class 11 :**

Merge-find trees (cont.). Near Constant Complexity. Sorting: Simple sort, Quick Sort (algorithm, worst-case and average complexity).**Class 12 :**

Sorting: Heap Sort and use for partial sort, bin sort. Order Statistics.

For a list of actual material covered so far click here

Copies of slides to be shown at during the semester:

File1

File2

File3

File4

File5 , File5-new

File6 , File6-new

RedBlack_tree , RedBlack-tree-new

Perfect-Hash , Perfect-Hash-new

Splay-tree, Splay-tree--new

Details will be given in the Tirgul Home Page.