CS 577: Introduction to Algorithms

    Section 1: CS 1221 TR 9:30-10:45 AM
    Fall 2012
 



      Course info
      Lectures
      Homeworks
      Staff Schedule
      Piazza


    Course info: Click here for info on the course content, text, grading, exams, etc.; See sidebar for quick links.
    Online discussion site: We will conduct discussions via Piazza.

    Announcements

    • 12/3: Shuchi's office hours are canceled for today.
    • 11/6: The office hours schedule has changed. The new schedule is effective 11/7. Please see this for the new schedule.
    • 10/11: Please note that HW3 is due on 10/23, and not 10/25.
    • 10/10: Question 1 on HW2 had a slight error that has now been corrected. A corrected version is posted here.


    Schedule and readings

    The following is a tentative list of topics and a collection of material relevant to lectures. More information and links will be added as the semester proceeds.

    Date Lec # Topic Readings/Notes/Slides Homework/Other Info
    9/4 1 Intro; Stable marriage §1, §2, slides HW0 out
    9/6 2 Divide & Conquer algorithms: searching and sorting §2, §5.1, §5.2 Sol0 out
    9/11 3 D&C: counting inversions, closest pair of points, sorting lower bound §5.3, inversions demo, § 5.4, lecture notes
    9/13 4 D&C: linear time selection, integer multiplication §5.5, lecture notes, selection demo HW1 out
    9/18 5 Graph connectivity & traversal: BFS, DFS §3, BFS demo, DFS demo
    9/20 6 Shortest paths in graphs §4.4, Dijkstra demo
    9/25 7 Dijkstra's algorithm contd., Greedy algorithms: interval scheduling, minimizing lateness §4.1, 4.2, Interval scheduling demo
    9/27 8 Greedy: Minimum spanning trees §4.5, 4.6, Prim demo, Kruskal demo HW1 due, HW2 out
    10/2 9 Greedy: Union-find data structure, Huffman codes §4.6, 4.8, Huffman demo
    10/4 10 Dynamic programming: weighted interval scheduling §6.1, 6.2
    10/9 11 DP: Knapsack, RNA secondary structure §6.4, 6.5
    10/11 12 DP: Sequence alignment §6.6, 6.7 HW2 due, HW3 out
    10/16 13 DP: Shortest paths revisited §6.8, 6.10
    10/18 14 Network flow §7.1, 7.2
    10/23 15 Network flow: analysis of Ford-Fulkerson, Edmonds Karp §7.3, handout HW3 due
    10/25 16 Applications of network flow: maximum matching §7.5, 7.6, 7.7
    10/30 17 More applications and extensions of network flow §7.7, 7.8, 7.9 HW4 out
    11/1 18 Applications of minimum cut §7.10, 7.11
    11/6 19 Randomized algorithms, min-cut revisited §13.2, 13.12, 13.3
    11/8 20 Random variables, Quicksort, Quickselect §13.3, 13.5
    11/13 21 Quicksort contd., Hashing §13.5, 13.6 HW5 out, HW4 due
    11/15 22 Hashing, Closest pair of points revisited §13.6, 13.7
    11/20 23 Randomization wrap-up, reductions §8.1
    11/27 24 P and NP, Co-NP, NP-Completeness §8.3, 8.9, 8.4
    11/29 25 NP-Completeness, Cook-Levin theorem, Satisfiability §8.4, 8.2 HW6 out, HW5 due
    12/4 26 Some NP-Complete problems §8.5, 8.6
    12/6 27 More NP-Complete problems, approximation §8.7, 8.8
    12/11 28 TBA
    12/13 29 TBA HW6 due