Lecture 11: Dynamic Programming: Weighted Interval Scheduling
Dynamic Programming: We begin discussion of an important algorithm design technique, called dynamic programming (or DP for short). The technique is among the most powerful for designing algorit
CSE548/AMS542 Fall 2015 Analysis of Algorithms
Jie Gao
September 28, 2015
Due September 27th midnight. Each problem, unless specified otherwise, has a maximum of 10
points. Avoid too many details. A succinct and clean proof is the best. You may use the al
CSE548/AMS542 Fall 2015 Analysis of Algorithms
Jie Gao
September 6, 2015
Due September 10th midnight. Each problem, unless specified otherwise, has a maximum of 10
points. Avoid too many details. A succinct and clean proof is the best. You may use the alg
CSE548/AMS542 Fall 2015 Analysis of Algorithms
Jie Gao
October 6, 2015
Due October 15th midnight. Each problem, unless specified otherwise, has a maximum of 10
points. Avoid too many details. A succinct and clean proof is the best. You may use the algorit
Chapter 1
Introduction and Asymptotic
Notation
Scribed by: Anna Sokol
1.1
What is an Algorithm?
An algorithm is the idea behind a computer program or computational process. The same
algorithms can be implemented on a CRAY in FORTRAN or in C on a Sparc sta
Lecture 17: Basic Graph Properties [Sp10]
Algorithms
is a nite set of states, is a nite set called the alphabet, : Q Q is a transition function, q0 Q is
the initial state, and F Q is the set of accepting states. But it is often useful to think of M as a d
CSE548/AMS542 Analysis of Algorithms
Jie Gao
August 21, 2015
Locations and Hours
Monday, Friday 1pm-2:20pm at Javits Lecture Center 103.
Lecturer
Prof. Jie Gao, 243 Computer Science. Email: jgao@cs.stonybrook.edu. Ofce hour: Monday 2:30-4pm.
TAs: TBD
C
3 Steiner Tree and TSP
In this chapter, we will present constant factor algorithms for two fundamen-
tal problems, metric Steiner tree and metric TSP. The reasons for considering
the metric case of these problems are quite dierent. For Steiner tree, this
Algorithms
Lecture 5: Dynamic Programming [Fa'10]
Those who cannot remember the past are doomed to repeat it. - George Santayana, The Life of Reason, Book I: Introduction and Reason in Common Sense (1905) The 1950s were not good years for mathematical res
Chapter 2
Divide-and-conquer algorithms
The divide-and-conquer strategy solves a problem by: 1. Breaking it into subproblems that are themselves smaller instances of the same type of problem 2. Recursively solving these subproblems 3. Appropriately combin
Algorithms
Lecture 2: Fast Fourier Transforms [Fa'10]
Calvin: Here's another math problem I can't figure out. What's 9+4? Hobbes: Ooh, that's a tricky one. You have to use calculus and imaginary numbers for this. Calvin: IMAGINARY NUMBERS?! Hobbes: You kn
CMSC 451
Design and Analysis of Computer Algorithms1
David M. Mount
Department of Computer Science
University of Maryland
Fall 2013
1
Copyright, David M. Mount, 2013 Dept. of Computer Science, University of Maryland, College Park, MD,
20742. These lecture