This C++ program displays the transitive closure matrix of a graph. The reachability of a particular node ‘i’ towards all node pairs (‘i’,’j’) is known as the transitive closure of a graph.

Here is the source code of the C++ program to display the transitive closure of a particular directed graph consisting of four nodes. This C++ program is successfully compiled and run on DevCpp, a C++ compiler. The program output is given below.

`/*`

`* C++ Program to Find Transitive Closure of a Graph`

`*/`

`#include<stdio.h>`

`#include<conio.h>`

`#include<iostream>`

using namespace std;

void printSolution(int reach[][4])

`{`

cout<<"Following matrix is transitive closure of the given graph\n";

for (int i = 0; i < 4; i++)

`{`

for (int j = 0; j < 4; j++)

`{`

cout<<reach[i][j];

`}`

cout<<endl;

`}`

`}`

void transitiveClosure(int graph[][4])

`{`

int reach[4][4], i, j, k;

for (i = 0; i < 4; i++)

`{`

for (j = 0; j < 4; j++)

`{`

reach[i][j] = graph[i][j];

`}`

`}`

for (k = 0; k < 4; k++)

`{`

for (i = 0; i < 4; i++)

`{`

for (j = 0; j < 4; j++)

`{`

reach[i][j] = reach[i][j] || (reach[i][k] && reach[k][j]);

`}`

`}`

`}`

printSolution(reach);

`}`

int main()

`{`

int graph[4][4] = { {1, 1, 0, 1},

{0, 1, 1, 0},

{0, 0, 1, 1},

{0, 0, 0, 1}

};

transitiveClosure(graph);

getch();

`}`

Output Following matrix is transitive closure of the given graph 1111 0111 0011 0001

**Sanfoundry Global Education & Learning Series – 1000 C++ Programs.**

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