HW 2 Solutions
Saturday, October 6
Dr. Charles Martel
ECS 222A, Fall 2012
Problem 1:
Our graph has n + 1 nodes numbered 0, 1, 2, . . . n, a dummy start node and one for each point. An arc
from node i
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
September 27, 2012
Problem Set 1A- Due Wednesday, October. 3, 2012 5:15PM
This is a warmup HW problem to get everyone started
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
October 2, 2012
Problem Set 2 Due October. 11, 2012 11:55PM
Guidelines for writeups
When describing an algorithm rst give a hi
ECS 222A: Algorithm Design and Analysis
UC Davis Vladimir Filkov
October 27, 2015
ECS 222 Midterm Exam
NAME:
ID:
Instructions: This is a closed book, open notes exam. No electronic devices may be used
HW 1
Due Monday, October 10
(22) Problem 1.
Dr. Charles Martel
ECS 222A, Fall 2006
a. Construct a new graph H with vertex set V and edge set
b
E (H ) =
E ( Gi )
i=0
Then, we can simply use a breadth-r
Homework 2 solutions - ECS222a F2006
October 26, 2012
1
Problem 1: Testing Communication Lines
A) We can solve the problem of testing communication lines by constructing a graph as described below,
an
ECS 222A: Algorithm Design and Analysis
UC Davis | Tao Jiang
October 18, 2012
Homework Writeups
(22) Problem 1. Problem 14 in chapter 6 on page 324. Also, give the run time of your
solutions.
Solution
Scribe notes
VaZirani class
Lecture #7 (Tuesday7 September 16)
1 The problem
We use the ﬁnite ﬁeld Z73. For :1:7 y E Z2, :1: —|— y denotes the bitWise addition
and :1: - y denotes the inner product (2
Local Search Algorithms
ECS 222A
Fall 2015
1
Coping With NP-Hardness
Q. Suppose I need to solve an NP-hard problem. What should I do?
A. Theory says you're unlikely to find poly-time algorithm.
Must s
Coping With Intractability
ECS 222A
Fall 2015
1
Coping With NP-Completeness
Q. Suppose I need to solve an NP-complete problem. What should I do?
A. Theory says you're unlikely to find poly-time algori
Approximation Algorithms
ECS 222A
Fall 2015
1
Approximation Algorithms
Q. Suppose I need to solve an NP-hard problem. What should I do?
A. Theory says you're unlikely to find a poly-time algorithm.
Mu
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
January 13, 2012
Problem Set 1- Due January. 24, 2012 4:10PM
Guidelines for writeups
When describing an algorithm rst give a h
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
September 24, 2009
Sample Homoework writeups
1
Find the missing Int
[25 points]
Problem 4-2 (Cormen, Leserson and Rivest), nd
ECS 222A: Algorithm Design and Analysis
UC Davis Vladimir Filkov
October 24, 2015
Problem Set 3 Solutions
Problem 1. The yes/no clique problem is: given an undirected graph G=(V,E) and a target
intege
ECS 222A: Algorithm Design and Analysis
UC Davis Vladimir Filkov
Dec. 4, 2015
Problem Set 6 Solutions
Problem 1. K&T 12.4.
a) Consider a progress measure dened as the sum of the squares of the loads o
ECS 222A: Algorithm Design and Analysis
UC Davis Vladimir Filkov
Nov. 24, 2015
Problem Set 5 Solutions
(20) Problem 1.
a) Give an integer programming (IP) formulation for MAX-CUT. Prove that it is
equ
ECS 222A: Algorithm Design and Analysis
UC Davis Vladimir Filkov
November 12, 2015
Problem Set 4 Solutions
Problem 1: KT 10.1, Hitting Set This solution will be similar to the algorithm for Vertex
Cov
Problem Set 2 Solutions
October 21, 2015
1
Problem 1: Negative cycles and Bellman-Ford
A best path of length i has some rst arc (v, w) and if we already have M [w] d [i 1, w] at the end of the
prior i
ECS 222A: Algorithm Design and Analysis
UC Davis Vladimir Filkov
October 6, 2015
Problem Set 1 Solutions
Problem 1: Segmented Least Squares
Our graph has n + 1 nodes numbered 0, 1, 2, . . . n, a dummy
Algorithm Design and Analysis
Lectures 3 and 4
ECS 222A
Fall 2015
1
6.7 Sequence Alignment in Linear Space
Sequence Alignment: Linear Space
Q. Can we avoid using quadratic space?
Easy. Optimal value i
Algorithm Design and Analysis
ECS 222A
Fall 2015
1
Problems: Specific Statements of What to Solve
Algorithms: TMs
- Solutions
- precise enough (in pseudocode)
- finite
- correct
- efficient
Model of C
Algorithm Design and Analysis
ECS 222A
Fall 2015
1
Problems: Specific Statements of What to Solve
Algorithms: TMs
- Solutions
- precise enough (in pseudocode)
- finite
- correct
- efficient
Model of C
CS 222A Fall 2012, HW 6 Due Tuesday November 27, 2012
I think most of these problems are pretty simple, so if you get into something really elaborate, you probably are on the wrong path.
1. The LCP pr
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
October 3, 2012
Problem Set 1A SolutionsProblem 1.(20) Answer to a Pancake problem. The goal was to nd an algorithm that uses
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
October 11, 2012
Problem Set 3Due Friday, October 19 11:50PM
(22) Problem 1. Problem 14 in chapter 6 on page 324. Also, give t
ECS 222A: Algorithm Design and Analysis
UC Davis Charles Martel
Handout ?
October 18, 2012
Problem Set 4Due Friday , October 26, 11:55PM
No late days for this assignment. All must be turned in by Frid
CS 222 Fall 2012 HW 5, Due Tuesday Nov. 13
Question 0 concerns hashing, presented by Professor Martel.
The remaining problems concern material on randomized algorithms.
Questions 1 and 2 can be done w