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An instance where the greedy algorithm gives an erroneous answer. In this example, running the greedy algorithm would give us a set with k = 6. However, from an exhaustive search, a set of k = 5 satisfying the conditions of the question can be found. Graph H в K We speculate that the reason why the greedy algorithm gives an erroneous answer for this

An instance where the greedy algorithm gives an erroneous answer. In this example, running the greedy algorithm would give us a set with k = 6. However, from an exhaustive search, a set of k = 5 satisfying the conditions of the question can be found. Graph H в K We speculate that the reason why the greedy algorithm gives an erroneous answer for this

Database System Concepts
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
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Suggest a straightforward algorithm which solves the following greedy algorithm correctly.

 

And estimate the time complexity of the straightforward algorithm.

(will leave a thumbs up)

 

 

 
3. An instance where the greedy algorithm gives an erroneous answer. In this example, running the greedy algorithm would give us a set with k = 6. However, from an exhaustive search, a set of k = 5 satisfying the conditions of the question can be found. Graph H в A K E We speculate that the reason why the greedy algorithm gives an erroneous answer for this 6, F H problem is because at some points during the process, there were several vertices which had the same number of connected edges. If the algorithm were to pick at random, it might not pick the vertex that can potentially lead to the best answer.
Transcribed Image Text:3. An instance where the greedy algorithm gives an erroneous answer. In this example, running the greedy algorithm would give us a set with k = 6. However, from an exhaustive search, a set of k = 5 satisfying the conditions of the question can be found. Graph H в A K E We speculate that the reason why the greedy algorithm gives an erroneous answer for this 6, F H problem is because at some points during the process, there were several vertices which had the same number of connected edges. If the algorithm were to pick at random, it might not pick the vertex that can potentially lead to the best answer.
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