Princeton University

Computer Science 423


COURSE INFORMATION  LECTURES  ASSIGNMENTS 

COURSE DESCRIPTION Description: This course is designed to provide students with an understanding of the principles and techniques used in the design and analysis of computer algorithms. The course is primarily theoretical and does not require programming, but it does require understanding of the notion of a mathematical proof, some knowledge of elementary discrete mathematics, and mathematical problemsolving skills. We shall discuss and analyze a variety of data structures and algorithms chosen for their importance and their illustration of fundamental concepts. We shall emphasize analyzing the worstcase running time of an algorithm as a function of input size. We shall also spend some time exploring the boundary between feasible (polynominaltime) computations and infeasible computations. This will include discussion of the notorious P=NP? question. Prerequisites: COS 226 and COS 340 or permission of the instructor Lectures: MW 11:0012:20, Room: FC 006 Precept 1: F 11:0011:50, Room: CS Building 302 Precept 2: F 1:302:20, Room: CS Building 302 Recommendations: ATTEND CLASS. There is no required text for this course and I will be developing course material as the course proceeds. You may miss ideas if you do not attend, and you may find the posted materials perplexing. Give yourself plenty of time to do the problem sets. Search on the web for additional information on the topics presented. ADMINISTRATIVE INFORMATION Instructor: Robert Tarjan Office: 324 CS Building, 2584797 Office Hours: MW 13 and by arrangement Computer Science Email: ret AT cs ... Alternative Email: prof.tarjan AT gmail DOT com Teaching Assistants Huy Nguyen Office: 416 CS Building, 2586304 Office Hours: Thursday 1012 Email: hlnguyen AT cs ... Yuri Pritykin Office: 417 CS Building, 2586324 Office Hours: Tuesday 13 Email: pritykin AT cs ... Administrative Assistant: Mitra Kelly Office: 323 CS Building, 2584562 Email: mkelly AT cs... Undergraduate Coordinator: Colleen KennyMcGinley Office: 210 CS Building  2581746 Email: ckenny AT cs ... USEFUL LINKS Previous semester(s): Spring 2010 and previous spring semesters. COS 226 Fall 2010 and previous semesters. COS 340 Fall 2010 and previous fall semesters. RECOMMENDED TEXT CLRS: Cormen, Leiserson, Rivest, and Stein, Introduction to Algorithms, Third Edition, AddisonWesley, 2009. Much of the material I shall cover is covered (differently) in this book. Although CLRS was required in previous years, it is not required this year; I will post material on all the topics I discuss. Nevertheless, reading CLRS is a way to gain additional understanding. I shall cite chapters and sections related to class presentations, and may take some problems from this book. USEFUL SOURCES R. Sedgewick and K. Wayne, Algorithms, (Preliminary) Fourth Edition, AddisonWesley, Fall, 2010, and previous editions, in particular R. Sedgewick, Algorithms in C, Third Edition, Parts 14, and Part 5, AddisonWesley, 2002. (on reserve in the Engineering Library for COS 226) Garey and Johnson, Computers and Intractability: A Guide to the Theory of NPCompleteness, W.H. Freeman & Co., 1979. Tarjan, Data Structures and Network Algorithms, Society for Industrial and Applied Mathematics, 1983. Kleinberg and Tardos, Algorithm Design, 2005. Cupillari, The Nuts and Bolts of Proofs, PWS Publishing, 1993. Polya, How to Solve It, Princeton University Press, 1945. 