CSE 5311 Design and Analysis of Algorithms Fall 2008 Quiz 1 Each Question carries 25 points Answer All questions Time: 60 Minutes Name:
NOTE: *One Reference Sheets allowed for this Quiz.
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CSE 5311 Design and Analysis of Algorithms FALL 2007 Department of Computer Science The University of Texas at Arlington Exercise Set 2
1) Answer questions 1a to 1c pertaining to the STOOGE_SORT Algor
CSE5311 Design and Analysis of Algorithms Exercise Problems 1 08/29/07 General Instructions about Exercise Problems
Problems and solutions will be discussed in Class. Solutions will not be available
Backtracking and Branch and Bound
Module 11 CSE5311 Fall 2008
Backtracking
Using Backtracking
Large instances of difficult combinatorial problems can be solved Worst case complexity of Backtracking ca
String Matching Algorithms
Topics
Basics of Strings Brute-force String Matcher Rabin-Karp String Matching Algorithm KMP Algorithm
1
In string matching problems, it is required to find the occurrences
Computational Geometry
Further Reading
TOPICS Preliminaries Point in a Polygon Polygon Construction Convex Hulls
CSE5311
1
Geometric Algorithms
Geometric Algorithms find applications in such areas a
Graph Algorithms
This week Graph terminology Stacks and Queues Breadth-first-search Depth-first-search Connected Components Analysis of BFS and DFS Algorithms
Chapter 3 Algorithm Design Kleinberg and
Dynamic programming techniques
Topics
Basics of DP Matrix-chain Multiplication Longest Common subsequence All-pairs Shortest paths
Further Reading Chapter 6 Textbook
11/19/09
CSE 5311 Spring 2007 M Ku
Computational Geometry
TOPICS Preliminaries Point in a Polygon Polygon Construction Convex Hulls Further Reading Chapter 35 from Text book
CSE5311
1
Geometric Algorithms
Geometric Algorithms find appl
Exercise Set 2
CSE 5311 Design and Analysis of Algorithms SPRING 2007
1. Solve the following recurrence relation T(n) = T(n-1) + n/2 , T(1) = 1 2. Give asymptotic upper and lower bounds for T(n) in ea
CSE5311 Design and Analysis of Algorithms Exercise Problems 3 09/17/07
1.
Let G = (V,E) be an (undirected) graph with costs ce 0 on the edges eE. Assume you are given a minimum-cost spanning tree T in
CSE5311 Design and Analysis of Algorithms Exercise Problems 3
1.
Let G = (V,E) be an (undirected) graph with costs ce 0 on the edges eE. Assume you are given a minimum-cost spanning tree T in G. Now a
NP-Complete Problems
P and NP Polynomial time reductions Satisfiability Problem, Clique Problem, Vertex Cover, and Dominating Set
10/19/2009
CSE 5311 FALL 2009 KUMAR
1
Polynomial Algorithms
Problems
ComputationalGeometry
TOPICS Preliminaries Point in a Polygon ClicktoeditMastersubtitlestyle Polygon Construction Convex Hulls
u u u u
Further Reading
CSE5311
11
Geometric Algorithms
Geometric Algorit
String Matching Algorithms
Topics
Basics of Strings Brute-force String Matcher Rabin-Karp String Matching Algorithm KMP Algorithm
1
In string matching problems, it is required to find the occurrences
Matrix Operations
A B
C
D
Replace `add' by `OR' and `Multiply' by `AND'
Paths of length 2 or less
Matrix operations on graphs
A B
C
D
Replace `add' by `OR' and `Multiply' by `AND'
Existence of paths c
CSE5311 Design and Analysis of Algorithms Fall 2009 September 28, 2009 Exercise Set 5
1. Suppose you are managing the construction of billboards on the Stephen Daedalus Memorial Highway, a heavily tra
CSE5311 Design and Analysis of Algorithms Exercise Problems 2 09/09/09
1. You are given a list of numbers for which you need to construct a min-heap. (A Min-heap is a binary tree in which every key is
Module 3 - Graph Algorithms
This week Graph terminology G ht i l Stacks and Queues Breadth-first-search Depth-first-search Connected Components Analysis of BFS and DFS Algorithms
Please see Reference
CSE5311 Module 2
This Class
Heaps and Heapsort? QuickSort Mergesort Other Sorting Algorithms
At the end of the class Binary trees Priority queues and heaps Quicksort
Worstcase Bestcase
Further Read
CSE5311
Design and Analysis of Algorithms
8/24/2009
CSE5311 Fall 2009
M Kumar
1
What are algorithms?
An algorithm is a precise and unambiguous specification of a sequence of steps that can be carried
CSE5311 Design and Analysis of Algorithms Exercise Problems 1 01/18/07
1. Given an array of integers A[1.n], such that, for all i, 1 i < n, we have A[i]-A[i+1] 1. Let A[1] = x and A[n] = y, such that