A, h=4 E, h=1 C, h=4 2 S, h=6 1 G, h=0 F, h=1 B, h=4 D, h=3.5 3. 3. 3.

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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Suppose we want to use UCS and the A* algorithm on the graph below to find the shortest path from node S to node G. Each node is labeled by a capital letter and the value of a heuristic function. Each edge is labeled by the cost to traverse that edge.

Perform A*, UCS, and BFS on this graph.

Indicate the f, g, and h values of each node for the A*. e.g., S = 0 + 6 = 6 (i.e. S = g(S) + h(S) = f(S)). Additionally, show how the priority queue changes with time.

Show the order in which the nodes are visited for BFS and UCS.

Show the path found by the A*, UCS, and BFS algorithms on the graph above.

Make this example inadmissible by changing the heuristic value at one of the nodes. What node do you choose and what heuristic value do you assign? What would be the A* algorithm solution then.

A, h=4
E, h=1
C, h=4
2
S, h=6
1
G, h=0
F, h=1
B, h=4
D, h=3.5
3.
3.
3.
Transcribed Image Text:A, h=4 E, h=1 C, h=4 2 S, h=6 1 G, h=0 F, h=1 B, h=4 D, h=3.5 3. 3. 3.
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