Please help with the following ONLY problems 2, 4, and question 5 (if you can estimate time complexity of straightforward algorithm). (will leave a like)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Please help with the following ONLY problems 2, 4, and question 5 (if you can estimate time complexity of straightforward algorithm).

(will leave a like)

Given a graph G, find the smallest integer k such that the vertex set V of G contains a set A consisting of k elements satisfying the condition: for each edge of G at least one of its ends is in A. The size of the problem is the number n of vertices in G.

1. Suggest a natural greedy algorithm for the problem.

2. Make sure (by estimating the time complexity) that the suggested greedy algorithm is

polynomial (its running time is estimated from above by some power of the size of the problem).

3. Find an instance for which the suggested greedy algorithm gives an erroneous answer.

4. Suggest a (straightforward) algorithm which solves the problem correctly.

5. Estimate the time complexity of the straightforward algorithm.

Greedy algorithm posted below:

 

Graph H
a
B
A
K
b
d
E
2
D
f
h
k
F
G
H 4
m
3
n
Transcribed Image Text:Graph H a B A K b d E 2 D f h k F G H 4 m 3 n
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Binary numbers
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education