Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text: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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