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Consider the following graphs, where A is the starting point and Z is the goal. What algo- rithm, BFS or DFS, will be more efficient in each case? Z J K D H F $1 E F D (a) G B A (b) 7 C H B E G

Consider the following graphs, where A is the starting point and Z is the goal. What algo- rithm, BFS or DFS, will be more efficient in each case? Z J K D H F $1 E F D (a) G B A (b) 7 C H B E G

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Consider the following graphs, where A is the starting point and Z is the goal. What algo- rithm, BFS or DFS, will be more efficient in each case? (a) (b) J K De H G $1 E F D B C H B E G
Transcribed Image Text:Consider the following graphs, where A is the starting point and Z is the goal. What algo- rithm, BFS or DFS, will be more efficient in each case? (a) (b) J K De H G $1 E F D B C H B E G
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Step 1

Solution:

In BFS, the search is done breadth-wise, i.e, at a particular level, all nodes are explored or searched, and then the control moves the next level and then in same manner, the search is continued until the goal node achieved. 

Now, in this case, the starting node A is in the first level, and the goal node is at the last level. So if we proceed with BFS, then all the nodes present in the graph are explored and at last, the goal node z is achieved. So it takes a lot of time. 

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