a. For the graph below, give the order in which Dijkstra’s Algorithm would visit each vertex, startingfrom vertex A.32BFAG4( E4DH4b. Change one of the weights in the graph so that the shortest paths tree returned by Dijkstra's is notcorrect. Hint: we showed in class that Dijkstra’s returns the correct SPT as long as all edges are non-negative.Set the weight of the edge connecting vertex .and vertextoc. Suppose we use the following heuristic:h(A) = 2h(B) = 2h(C) = 20h(D) = 2h(E) = 6h(F) = 2h(G) = 02%3Dh(H)%3DRecall that A* is just Dijkstra’s algorithm, except that vertices are given a priority equal to the sumof their Dijkstra priority (distance from the source) plus the heuristic distance, and also that we quitwhen the target is visited.Give the path (not order visited) that A* returns from A to G, you may not need all of the blanks:_A_2.

Answered: For the graph below, give the order in…

For the graph below, give the order in which Dijkstra's Algorithm would visit each vertex, starting from vertex A. 3 2 B F 1 A G 5 4 D E H 4 4 2. CO

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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Question

a. For the graph below, give the order in which Dijkstra’s Algorithm would visit each vertex, starting
from vertex A.
3
2
B
F
A
G
4
( E
4
D
H
4
b. Change one of the weights in the graph so that the shortest paths tree returned by Dijkstra's is not
correct. Hint: we showed in class that Dijkstra’s returns the correct SPT as long as all edges are non-
negative.
Set the weight of the edge connecting vertex .
and vertex
to
c. Suppose we use the following heuristic:
h(A) = 2
h(B) = 2
h(C) = 20
h(D) = 2
h(E) = 6
h(F) = 2
h(G) = 0
2
%3D
h(H)
%3D
Recall that A* is just Dijkstra’s algorithm, except that vertices are given a priority equal to the sum
of their Dijkstra priority (distance from the source) plus the heuristic distance, and also that we quit
when the target is visited.
Give the path (not order visited) that A* returns from A to G, you may not need all of the blanks:
_A_
2.

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