Analysis of Algorithms - CSCI 570, Spring 2011, Section 30097D

Analysis of Algorithms - CSCI 570, Spring 2011, Section 30097D

General Information

Time	:	TuTh 12:30pm - 1:50pm
Location	:	GFS 101
Instructor	:	Bill Cheng (for office hours, please see instructor's web page), E-mail: <bill.cheng@usc.edu>. (Please do not* send HTML-only e-mails. They will not be read.)*
TA	:	Yuan Yao, E-mail: <yuanyao@usc.edu>, Office Hours: Wed 2pm-3pm and Fri 4pm-5pm in SAL 229
Grader	:	Xinxin Wu, E-mail: <xinxinwu@usc.edu>. (The grader will hold office hours the week after the announcement of each assignment's grades.)
Midterm Exam	:	during class time, in OHE 122, Thu, 3/24/2011 (New Date). OHE is located in section 5B of the campus map.
Final Exam	:	2pm-4pm (Corrected Time), Wed, 5/11/2011 (firm) in OHE 122, OHE is located in section 5B of the campus map.

Class Resources

Description	:	textbooks, topics covered, grading policies, additional resources, etc.
Lectures	:	slides from lectures in HTML and PDF formats
Participation	:	rules about rowcalls.
Homeworks	:	homework assignments (please also see important information about programming assignments at the bottom of this page.)
Newsgroup	:	Google Group for discussing course materials and programming assignments. (This group is by invitation only.)

News

(in reversed chronological order)

4/29/2011: The final exam will be closed book, closed notes, and closed everything (and no "cheat sheet"). Also, no calculators, cell phones, or any electronic gadgets are allowed. Please bring a photo ID. Your ID will be collected at the beginning of the exam and will be returned to you when you turn in your exam. There will be assigned seating.
The final exam will cover everything from slide 1 of Lecture 19 on 3/29/2011 to the last slide of Lecture 28 on 4/28/2011.
Here is a quick summary of the topics (not all topics covered are listed):
- Divide and Conquer
  - merge sort
  - recurrence relations
  - counting inversions
  - closest pair of points
  - integer multiplication
  - matrix multiplication
  - convolution
  - FFT
- Dynamic Programming
  - weighted interval scheduling
  - memoization vs. iteration over subproblems
  - segmented least squares
  - knapsack problem
  - RNA secondary structure
  - sequence alignment
  - sequence alignment in linear space
  - shortest paths
  - distance vector protocol
  - negative cycles in a graph
- Network Flow
  - network flow basics
  - max-flow problem
  - Ford-Fulkerson algorithm
  - max-flows & min-cuts
  - choosing good augmenting paths
  - applications
    - bipartite matching
    - disjoint paths
    - circulation with demands
    - survey design
    - airline scheduling
    - image segmentation
    - project selection
    - baseball elimination
- HW4
  - maze generation
  - maze solutoin
- HW5
  - sudoku puzzle solution
  - sudoku puzzle generation

3/13/2011: The midterm exam will be closed book, closed notes, and closed everything (and no "cheat sheet"). Also, no calculators, cell phones, or any electronic gadgets are allowed. Please bring a photo ID. Your ID will be collected at the beginning of the exam and will be returned to you when you turn in your exam. There will be assigned seating.
The midterm exam will cover everything from the beginning of the semester till the last slide of Lecture 18 on 3/10/2011.
Here is a quick summary of the topics (not all topics covered are listed):
- Some Representative Problems
  - stable matching and the propose-and-reject (Gale-Shapley) algorithm
    - correctness (termination, perfection, stability)
    - efficient implementation
    - man-optimality
    - woman-pessimality
    - weak Pareto optimality
    - deceit
  - give representative problems
    - interval scheduling
    - weighted interval scheduling
    - bipartite matching
    - independent set
    - competitive facility location
- Basics of Algorithm Analysis
  - running time analysis
    - polynomial running time
    - worst-case running time
    - average-case running time
  - asymptotic order of growth
    - upper bounds
    - lower bounds
    - tight bounds
  - common running time
    - O(n)
    - O(n log n)
    - O(n²)
    - O(n³)
    - O(n^k)
    - exponential time
  - priority queues
    - tournament sort
    - heap sort
      - building a heap
      - output
    - maintaining a heap
      - insertion
      - deletion
    - implementing priority queues with heaps
- Graphs
  - representation
  - paths, connectivity, trees
  - paths, connectivity, trees
  - connected components
  - testing bipartiteness
  - directed graphs
  - directed acyclic graphs
  - topological sort
- Greedy Algorithms
  - interval scheduling
  - schedule all intervals
  - schedule to minimize lateness
  - optimal caching
  - finding shortest path
    - Dijkstra's algorithm
  - coin changing (not covered by this exam)
  - selecting breakpoints
  - minimum spanning tree
    - cycles
    - cuts
    - cut sets
    - Kruskal algorithm
    - Prim's algorithm
    - clustering
- HW1
  - long-hand multiplication
  - long-hand division
- HW2
  - doubly-linked circular list
  - display
- HW3
  - binary search tree
    - insertion
    - deletion
  - AVL tree
    - global balance vs. local balance
    - insertion
    - deletion

1/3/2011:
- Registering with the class mailinglist is required for this class. This is not the same as the class discussion Google Group. You will be receiving HW and exam scores through this list via individual e-mails. If you have not done so, please visit the mailinglist page after the semester starts. (You do not have to be registered for the course to register with the class mailinglist.) In the registration confirmation e-mail, you will also get your user ID and password for accessing protected area of this web site.
- There are other sections of CSCI 570 and they offered by other instructors. There are substantial differences between our section and other sections. You must only attend the section for which you are registered.
  If you are a PhD student, you may be required to enroll in CSCI 670 instead of CSCI 570. Please discuss with the instructor either via e-mail or in person.
- Watch this area for important announcements.

Prerequisites

CS 102L (Data Structures) or graduate standing. It is assumed that you know how to write programs in C/C++, and how to debug them and make them work correctly under the UNIX development environment.

Important Information about Programming Assignments

All graded homework assignments are programming assignments to be done in C/C++. No other programming language will be accepted and your program must compile and run with a Makefile on nunki.usc.edu. (Sorry, no Java.) You must be familiar with the UNIX development environment (vi/pico/emacs, cc/gcc or g++/CC, make, etc.)

If a student signs up late for this class, he/she is still required to turn all projects and homeworks on time or he/she will receive a score of 0 for these assignments. No exceptions!