(1) Write a C program to implement an algorithm based on Depth-First Search to test the connectivity of a given network. Input: Adjacency matrix (refer to sample program on page 6 for reading in an adjacency matrix) Output: The sequence that vertices are being visited • The vertices of each connected component of a given graph The parent of each vertex (a vertex p is the parent of vertex c if c is visited from p) Note: To mark a vertex to indicate if has been visited or not, a one-dimensional integer array, say visit maxV], where maxV is the size of the array, could be used. visif(] is set to 0 initially for all i (unvisited), and is set to 1 if visited.

(1) Write a C program to implement an algorithm based on Depth-First Search to test the connectivity of a given network. Input: Adjacency matrix (refer to sample program on page 6 for reading in an adjacency matrix) Output: The sequence that vertices are being visited • The vertices of each connected component of a given graph The parent of each vertex (a vertex p is the parent of vertex c if c is visited from p) Note: To mark a vertex to indicate if has been visited or not, a one-dimensional integer array, say visit maxV], where maxV is the size of the array, could be used. visif(] is set to 0 initially for all i (unvisited), and is set to 1 if visited.

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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b) One application of the depth-first search is for checking acyclicity of a graph. If there is a back edge (an edge
not in the DFS tree T) from some vertex u to its ancestor v in T, the graph has a cycle that comprises the path
from v to u via a sequence of tree edges in T followed by the back edge from u to v. Modify your program to
determine if there is a cycle in each connected components of a given graph. Test your program with the
graph given in part(a) above.

(i) Write a C program to implement an algorithm based on Depth-First Search to test the connectivity of a
given network.
Input: Adjacency matrix (refer to sample program on page 6 for reading in an adjacency matrix)
Output:
The sequence that vertices are being visited
The vertices of each connected component of a given graph
The parent of each vertex (a vertex p is the parent of vertex c if c is visited from p)
Note:
To mark a vertex to indicate if has been visited or not, a one-dimensional integer array, say
visit[maxV], where maxV is the size of the array, could be used. visit[i] is set to 0 initially for all i
(unvisited), and is set to 1 if visited.

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