Depth First Search-Data Structures

1.Implement the DFS algorithm in C++ or in the C programming language using a

stack and arrays. Demonstrate its performance on the following graphs and source

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vertices. Store the graphs as adjacency matrices (2D arrays) as shown in class/blackboard

example after reading in the graph text files. First, convert each graph into an edge list

and save it as a text file. Your program should read in the text file and store the graph as

an adjacency matrix (use the method covered in class, or a similar method). Make sure to

use command line arguments. The first argument is the filename and the second

argument is the number of nodes. Print out the order in which

the nodes are visited.

 

 

Note 1: in C++ you can use the header file “stack” (see Blackboard example) and declare a stack

as stack S; if using C then you will have to implement your own stack.

DFS Pseudocode (for graph with n vertices):

Input: grapharray[n][n], source

stack S

int visited[n] (array to keep track of nodes visited, all values

set to 0 except source which is set to 1 i.e. 0 = not visited, 1

= visited)

S.push(source)

while(S is not empty)

v = S.top

S.pop()

for each neighbor w of v

if visited[w] = 0

print w

visited[w] = 1

S.push(w)

end if

end for

end while

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