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Count all possible walks from a source to a destination with exactly k edges in C++
In this tutorial, we will be discussing a program to find the number of walks from a source to a destination with exactly k edges.
For this we will be provided with a graph and the values of source and destination. Our task is to find all the possible paths starting from the source to the destination having exactly k edges.
Example
#include <iostream>
using namespace std;
#define V 4
//counting walks using recursion
int countwalks(int graph[][V], int u, int v, int k){
if (k == 0 && u == v)
return 1;
if (k == 1 && graph[u][v])
return 1;
if (k <= 0)
return 0;
int count = 0;
//moving to the adjacent nodes
for (int i = 0; i < V; i++)
if (graph[u][i] == 1)
count += countwalks(graph, i, v, k-1);
return count;
}
int main(){
int graph[V][V] = {
{0, 1, 1, 1},
{0, 0, 0, 1},
{0, 0, 0, 1},
{0, 0, 0, 0}
};
int u = 0, v = 3, k = 2;
cout << countwalks(graph, u, v, k);
return 0;
}Output
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Updated on: 17-Feb-2020
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