CS 344
##### CS 344 - Design And Analysis Of Algorithms - Rutgers Study Resources
• 4 Pages
###### third_practice

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Practice Questions and Reading Material The nal exam is cumulative and will include problems relating to all the lectures. Please go over all three study guides. The current study guide includ

• 15 Pages
###### hw_1_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 1 - Solutions Asymptotic and Number Theoretic Algorithms Part A (20 points) 1 Problem 1: In each of the following situations indicate whether = O(g) or = (g) or = (g): Note: The g n f

• 7 Pages
###### hw_2_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2013 Homework 2 Solutions Divide-and-Conquer Algorithms, Sorting Algorithms, Greedy Algorithms Problem 1 [20 points] The more general version of the Master Theorem is the following. Given a recurre

• 3 Pages
###### hw_2

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 2 Divide-and-Conquer Algorithms, Sorting Algorithms, Greedy Algorithms Deadline: March 14, 11:59pm. Available points: 110. Perfect score: 100. Homework Instructions: Teams: Homeworks

• 5 Pages
###### hw_1

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 1 Asymptotics and Number Theoretic Algorithms Deadline: February 18, 11:59pm. Available points: 120. Perfect score: 100. Homework Instructions: Teams: Homeworks should be completed by

• 1 Page
###### Homework 5

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 2012 CS 344: #5 More comparison stu Farach-Colton Due by 5:00pm, Oct. 11. 1. The mode of an array is the most frequent element of the array. Give an algorithm to nd the mode of an array. Analyze its complexity. As always, the faster the algorithm, th

• 1 Page
###### Homework 4

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 2012 CS 344: #4 Trees and Whatnot Farach-Colton Due by 5:00pm, Oct. 4. 1. Prove that a forest consisting of k trees with a total of n nodes has n k edges. (20 points) 2. Let G = (V, E, W ) be a weighted graph such that no two dierent edges in E have

• 1 Page
###### Homework 3

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 2012 CS 344: #3 Sorting Farach-Colton Due by 5:00pm, Sept. 27. 1. The merge algorithm presented in class was not in place. Assume you are given an array A[1], ., A[n] where A[1], ., A[k ] is one sorted list and A[k + 1], ., A[n] is another sorted lis

• 2 Pages
###### Homework 2

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 2012 CS 344: #1 Math Fundamentals Farach-Colton Due by 5:00pm, Due: Sept. 20. 1. Prove that log(n!) (n log n). (15 points) 2. Let f (n) = 2n , g (n) = 3n . Is f (n) in O(g (n)? Is g (n) in O(f (n)? Prove your answer. (10 points) 3. Let f (n) = n2 , g

• 4 Pages
###### hw_3_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2013 Homework 3 Solutions TITLE Part A (20 points) Problem 1: Let Track 1 to have n points and track 2 to have m points. We need two tables, each one for the Euclidean distances between every pair

• 3 Pages
###### hw_3

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 3 Dynamic Programming and Graph Search Deadline: April 4, 11:59pm. Available points: 110. Perfect score: 100. Homework Instructions: Teams: Homeworks should be completed by teams of s

• 4 Pages
###### second_practice

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Practice Questions and Reading Material Note: The chapters and exercises from the books are provided as supportive references for the material covered during the lectures. Greedy Algorithms: H

• 4 Pages
###### first_practice

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Practice Questions and Reading Material Note: The material from the books is provided as a supportive reference for the material covered during the lectures. Introduction to Concepts of Algori

• 6 Pages
###### midterm2_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Midterm Exam Name: Perfect score: 100 points - Available points: 112. No notes or books are allowed. A. Specify whether the entire following statements are true or false and argue why: - A dyn

• 6 Pages
###### midterm1_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Midterm Exam Name: Perfect score: 100 points - Available points: 112. No notes or books are allowed. A. Specify whether the following statements are true or false and argue why: - For any pair

• 8 Pages
###### hw_5_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 5 Minimum Spanning Trees, NP-Complete Problems and Approximation Algorithms Deadline: May 6, 11:59pm. Available points: 110. Perfect score: 100. Homework Instructions: Teams: Homework

• 4 Pages
###### hw_5

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 5 Minimum Spanning Trees, NP-Complete Problems and Approximation Algorithms Deadline: May 6, 11:59pm. Available points: 110. Perfect score: 100. Homework Instructions: Teams: Homework

• 7 Pages
###### hw_4_sol

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 4 - Solutions Problem 1: After Storm Sandy leaves, the small town of New Town is undergoing an electricity power shortage. To recover the electricity service in the town, the local el

• 4 Pages
###### hw_4

School: Rutgers

Course: Design And Analysis Of Algorithms

CS 344: DESIGN AND ANALYSIS OF COMPUTER ALGORITHMS SPRING 2014 Homework 4 Searching for Paths on Graphs Deadline: April 20, 11:59pm. Available points: 110. Perfect score: 100. Homework Instructions: Teams: Homeworks should be completed by teams of student

• 1 Page
###### Homework 1

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 2012 CS 344: #1 Math Fundamentals Farach-Colton Due by 5:00pm, Due: Sept. 13. 1. Prove, using the denitions, that loga x = logb x. loga b Prove that log x x = . y log y 2. Prove by induction on k : (Remember these formulas, they may be used later) (a

• 1 Page
###### Practice questions

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 2012 CS 344: Practice Questions Farach-Colton Due by 5:00pm, on . 1. Suppose I take an array A[1, . . . , n] of integers and create a new array B [1, . . . , n+ 1] as follows: First, B [1, . . . , n] = A[1, . . . , n]. Now, I pick some i without tell

• 1 Page
###### Practice exam 1

School: Rutgers

Course: Design And Analysis Of Algorithms

Fall 1994 Farach CS 344: (Practice) Exam #1 Books and notebooks may be consulted. Any theorem proven in class or algorithm presented in class can be used. Theorems or algorithms that were mentioned but not presented can only be used if you prove them. 1.

• 3 Pages
###### Greedy Algorithms

School: Rutgers

Course: Design And Analysis Of Algorithms

Greedy algorithms are simple and straightforward. They are shortsighted in their approach in the sense that they take decisions on the basis of information at hand without worrying about the effect these decisions may have in the future. They are easy to

• 5 Pages
###### Graph Algorithms

School: Rutgers

Course: Design And Analysis Of Algorithms

Graph Theory is an area of mathematics that deals with following types of problems Connection problems Scheduling problems Transportation problems Network analysis Games and Puzzles. The Graph Theory has important applications in Critical path analysis, S

• 7 Pages
###### Dynamic Table

School: Rutgers

Course: Design And Analysis Of Algorithms

If the allocated space for the table is not enough, we must copy the table into larger size table. Similarly, if large number of members erased from the table, it is good idea to reallocate the table with a smaller size. Using amortized analysis we shall

• 5 Pages
###### Dynamic Programming

School: Rutgers

Course: Design And Analysis Of Algorithms

Dynamic programming is a fancy name for using divide-and-conquer technique with a table. As compared to divide-and-conquer, dynamic programming is more powerful and subtle design technique. Let me repeat , it is not a specific algorithm, but it is a meta-

• 3 Pages
###### Divide and Conquer

School: Rutgers

Course: Design And Analysis Of Algorithms

Divide-and-conquer is a top-down technique for designing algorithms that consists of dividing the problem into smaller subproblems hoping that the solutions of the subproblems are easier to find and then composing the partial solutions into the solution o

• 10 Pages
###### Binary Search Tree

School: Rutgers

Course: Design And Analysis Of Algorithms

Binary Search tree is a binary tree in which each internal node x stores an element such that the element stored in the left subtree of x are less than or equal to x and elements stored in the right subtree of x are greater than or equal to x. This is cal

• 1 Page
###### Approximate

School: Rutgers

Course: Design And Analysis Of Algorithms

An approximate algorithm is a way of dealing with NP-completeness for optimization problem. This technique does not guarantee the best solution. The goal of an approximation algorithm is to come as close as possible to the optimum value in a reasonable am

• 13 Pages
###### Graph Algorythms

School: Rutgers

Course: Design And Analysis Of Algorithms

Elementary Graph Algorithms CSE 680 Suggested Reading: Appendix B4, Chapter 22 1 Graphs G(V, E) - V : vertex set; E: edge set. Directed graphs, undirected graphs, weighted graphs. An edge is incident on, incident from, or incident to a vertex.

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