CS473UG - Algorithms (undergraduate section) - Fall 2007

Schedule and Lecture Notes

Date Topics Reading
Thursday, August 23 Administrivia, overview, primality, stable marriage Chapters 1,2,3 from textbook
Tuesday, August 28 Greedy Algorithms: interval selection and partitioning, scheduling to minimize lateness 4.1, 4.2 from textbook
Thursday, August 30 Greedy Algorithms contd: Two Simple Problems and MST 4.3-4.5 from textbook
Tuesday, September 4 Data Structures for MST Computation: Priority Queues and Union-Find 2.5, 4.5, 4.6
Thursday, September 6 Huffman Codes via Recursion 4.8
Tuesday, September 11 Merge Sort, Recurrences, Selection 5.1, 5.2
Thursday, September 13 Closest Pair, Multiplication, Matrix Multiplication 5.4,5.5
Tuesday, September 18 Convolutions, Polynomials, Fast Fourier Transform 5.6
Thursday, September 20 DFS, Connectivity in Directed Graphs 3.5, 3.6, lecture notes
Tuesday, September 25 Finding all Strong Components using DFS Chapter 3 in Dasgupta etal book
Thursday, September 27 BFS and Dijkstra's Algorithm for Shortest Paths 3.2--3.4, 4.4
Tuesday, October 2 Midterm 1: 7-9pm, Location: Main Library Room 66 TBA
Thursday, October 4 Shortest Paths with Negative Lengths: Bellman-Ford Algorithm Lecture notes, Chapter 6.8--6.10
Tuesday, October 9 Dynamic Programming: Introduction Chapter 6
Thursday, October 11 Dynamic Programming: More Examples Chapter 6
Friday, October 12 Drop Deadline TBA
Tuesday, October 16 Dynamic Programming: Some More Examples Chapter 6
Thursday, October 18 Network Flows: Introduction Chapter 7
Tuesday, October 23 Network Flow Algorithms Chapter 7
Thursday, October 25 Applications of Network Flows Chapter 7
Tuesday, October 30 Circulations, lower bounds on flow and Applications Chapter 7
Thursday, November 1 Introduction to Linear Programming Lecture Notes
Tuesday, November 6 Midterm 2: 7-9pm, Location: Main Library Room 66 TBA
Thursday, November 8 Polynomial Time Reductions Chapter 8
Tuesday, November 13 Reductions and NP Chapter 8
Thursday, November 15 NP-Completeness and Cook-Levin Theorem Chapter 8
Tue/Thu, November 20, 22 Turkey time TBA
Tuesday, November 27 More NP-Complete Problems Chapter 8
Thursday, November 29 co-NP, Self-Reducibility, and Approximation Algorithms Chapter 8, Chapter 11
Tuesday, December 4 More Approximation Algorithms Chapter 11
Thursday, December 6 Closing thoughts, review, course evaluation  
Tuesday, December 11 Final, 1.30--4.30pm: 1404 Siebel Center Lecture Notes, Chapters 1-9 of Text Book


Acknowledgments: Lecture notes are based on notes and slides of Jeff Erickson, Sariel Har-Peled, Mahesh Viswanathan (the slides especially), Kevin Wayne, and the textbook by Kleinberg and Tardos. The slides and notes are typeset using LaTeX and the beamer package.