Adjacency List in graph - c++

Question

Hi I am try to implement a graph using adjacency list using following code.
#include<iostream>
#include<list>
#include<vector>
#include<unordered_map>
using namespace std;
class graph{
public:
vector<int> adj[10000];
void insert(int u,int v, bool direction) {
adj[u].push_back(v);
if(direction==1) {
adj[v].push_back(u);
}
}
void print(int n) {
for(int i=0;i<n+1;i++) {
cout<<i<<"->";
for(auto j : adj[i]) {
cout<<j<<",";
}
cout<<endl;
}
}
};
int main( ) {
int n;
cout<<"Enter no of node"<<endl;
cin>>n;
cout<<"enter edges "<<endl;
int m;
cin>>m;
graph g;
for(int i=0;i<m;i++) {
int u, v;
cin>>u>>v;
g.insert(u,v,1);
}
g.print(n);
return 0;
}
But the problem with this code is that it will give correct answer only in the case when my node start from 0 in a continuous manner(0,1,2,3). But when I try to print adjacency list of this graph:
Then it is giving this output:
Can somebody tell me where am I wrong?

Answer 1

The edges you are adding aren't the same as the graph i picture, you are inputting edge 1, 3 instead of edge 1, 5.

Answer 2

It's printing the 0 because you started that for loop from i = 0 and it doesn't print node 5 for the same reason (the loop ends at 4 because you will have i < 4 + 1.
void print(int n) {
//↓↓↓ HERE
for(int i=0;i<n+1;i++) {
cout<<i<<"->";
for(auto j : adj[i]) {
cout<<j<<",";
}
cout<<endl;
}
}
Here is how I would change your code:
First, I changed the print() function a little (added the if() to see if the current row is empty and I changed the int n parameter to int maximum which will hold the highest value node so we know when to stop the for).
void print(int maximum)
{
for(int i=0; i<=maximum; i++)
{
if(!adj[i].empty())
{
cout<<i<<"->";
for(auto j : adj[i])
{
cout<<j<<",";
}
cout<<endl;
}
}
}
Then, in main() I added the maximum and aux variables in order to store the aforementioned highest value node. And I also changed the g.print(n) to g.print(maximum).
int main( )
{
int n, maximum = 0, aux;
cout<<"Enter no of node"<<endl;
cin>>n;
cout<<"enter edges "<<endl;
int m;
cin>>m;
graph g;
for(int i=0; i<m; i++)
{
int u, v;
cin>>u>>v;
g.insert(u,v,1);
aux = max(u, v);
maximum = max(maximum, aux);
}
g.print(maximum);
return 0;
}
However, I might not be Terry A. Davis, but I know that if you say you have 4 nodes, those 4 nodes will be 1 2 3 and 4. And I also know that any graph related problem will have nodes starting from 1, therefore every for loop would start from i = 1, or at least that's how I was taught. The way you did it might be correct too, but I am not sure.