CS 483 Fall 2010
Design and Analysis of Algorithms

Lecture Time: Tuesdays and Thursdays, 3:00 pm - 4:15 pm
Location: Art and Design Building L008
Course webpage: http://www.cs.gmu.edu/~lifei/teaching/cs483_fall10
Credit: 3

Instructor: Fei Li, Room 5326, Engineering Building, email: lifei@cs.gmu.edu
Office hours: Thursday 4:15pm - 6:15pm

Teaching Assistant: TBD
Office hours: TBD



Course Overview:

In this course, a thorough examination of several well-known techniques that are used for the design and analysis of efficient algorithms will be covered. Topics to be covered include theoretical measures of algorithm complexity, greedy algorithms, divide and conquer techniques, dynamic programming, graph algorithms, search strategies, and an introduction to the theory of NP-completeness.


CS 310 and CS 330 Calculus (MATH 113, 114, 213) and MATH 125. Please contact with the instructor if you are not sure.


Introduction to Algorithms by T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, The MIT Press, 3rd Edition (2009). (Required)

Algorithms by S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani, The McGraw-Hill Companies (2008). A draft of the book can be found at http://www.cs.berkeley.edu/~vazirani/algorithms.html (Strongly Recommended)

Course Materials:
Lecture Date Topic Lecture Notes Scope Assignments Note
1 August 31 Introduction CLRS 1, 2
2 September 2 Growth of Functions CLRS 3
3 September 7 Divide and Conquer CLRS 4
4 September 9 Divide and Conquer CLRS 4
5 September 14 Divide and Conquer CLRS 4
6 September 16 Probabilistic Analysis CLRS 5
7 September 21 Probabilistic Analysis CLRS 5
8 September 23 Dynamic Programming CLRS 15
9 September 28 Dynamic Programming CLRS 15
10 September 30 Greedy Algorithm CLRS 16
11 October 5 Greedy Algorithm CLRS 16
12 October 7 Amortized Analysis CLRS 17

Columbus Day recess

No class

October 12
13 October 14 Amortized Analysis CLRS 17
14 October 19 Review + solutions
15 October 21 Midterm
16 October 26 Graph Algorithms CLRS 22
17 October 28 Graph Algorithms CLRS 22
18 November 2 Minimum Spanning Tree CLRS 23

19 November 4 Minimum Spanning Tree CLRS 23
20 November 9 Single Source Shortest Path CLRS 24

21 November 11 Single Source Shortest Path CLRS 24
22 November 16 All-Pairs Shortest Paths

23 November 18 All-Pairs Shortest Paths CLRS 25
24 November 23 Maximum Flow CLRS 26

Thanksgiving recess

No class

November 25
25 November 30 Maximum Flow CLRS 26
26 December 2 Maximum Flow CLRS 26
27 December 7 Advanced Topics
28 December 9 Review + solutions
29 TBD Final exam


In this course, we will consider the algorithm design and alaysis techniques of various problems coming from the following areas:
• Analysis of Algorithm Efficiency (asymptotic notation, amortized analysis)
• Brute Force Techniques (sorting, search, traveling salesmen)
• Divide and Conquer (merge sort, quicksort, matrix multiplication, polynomial multiplication)
• Graph decomposition and search (connected components, shortest path problem)
• Greedy Techniques (minimum spanning tree, Huffman trees)
• Dynamic Programming (edit distance,matrix chainmultiplication, knapsack, all pairs shortest paths)
• Linear Programming (network flows, matching, simplex, duality)
• Randomized Algorithms

Course Outcomes:

1. An understanding of classical problems in Computer Science
2. An understanding of classical algorithm design and analysis strategies
3. An ability to analyze the computability of a problem
4. Be able to design and analyze new algorithms to solve a computational problem
5. An ability to reason algorithmically

Tentative Grading:

Weekly assignments (45%)

Midterm Exam (20%)

Final Exam (35%)

Hand in hard copies of assignments in class. Please note that all coursework is to be done independently. Plagiarizing the homework will be penalized by maximum negative credit and cheating on the exam will earn you an F in the course. See the GMU Honor Code System and Policies at http://www.gmu.edu/catalog/acadpol.html and http://www.cs.gmu.edu/honor-code.html. You are encouraged to discuss the material BEFORE you do the assignment. As a part of the interaction you can discuss a meaning of the question or possible ways of approaching the solution. The homework should be written strictly by yourself. In case your solution is based on the important idea of someone else please acknowledge that in your solution, to avoid any accusations.
Academic Honesty:

The integrity of the University community is affected by the individual choices made by each of us. GMU has an Honor Code with clear guidelines regarding academic integrity. Three fundamental and rather simple principles to follow at all times are that: (1) all work submitted be your own; (2) when using the work or ideas of others, including fellow students, give full credit through accurate citations; and (3) if you are uncertain about the ground rules on a particular assignment, ask for clarification. No grade is important enough to justify academic misconduct.

Plagiarism means using the exact words, opinions, or factual information from another person without giving the person credit. Writers give credit through accepted documentation styles, such as parenthetical citation, footnotes, or endnotes. Paraphrased material must also be cited, using MLA or APA format. A simple listing of books or articles is not sufficient. Plagiarism is the equivalent of intellectual robbery and cannot be tolerated in the academic setting. If you have any doubts about what constitutes plagiarism, please see me.

Disability Statement:

If you have a learning or physical difference that may affect your academic work, you will need to furnish appropriate documentation to the Disability Resource Center. If you qualify for accommodation, the DRC staff will give you a form detailing appropriate accommodations for your instructor.

In addition to providing your professors with the appropriate form, please take the initiative to discuss accommodation with them at the beginning of the semester and as needed during the term. Because of the range of learning differences, faculty members need to learn from you the most effective ways to assist you. If you have contacted the Disability Resource Center and are waiting to hear from a counselor, please tell me.