Hello people..! This is a special extension for my discussion on Graph Theory Basics. Here, I give you the code for implementing the Adjacency List using C++ STL. Some of the features of this code are –
- The Adjacency List is a vector of list, where each element is a pair, from the utility header file. This pair stores two values, the destination vertex, (V2 in an edge V1 → V2) and the weight of the edge.
- For adding an edge, all we have to do is to call push_back() function. Although it does not represent our addEdge() in the initial discussion where we had head insertion, it is tail insertion which is an O(1) insertion operation.
- The vector representing the vertices is 1-indexed.
/* * Adjacency List for * Directed Weighted Graph * Code using C++ STL * * Authored by, * Vamsi Sangam. * */ #include <cstdio> #include <vector> #include <list> #include <utility> using namespace std; int main() { int vertices, edges, v1, v2, weight; printf("Enter the Number of Vertices -\n"); scanf("%d", &vertices); printf("Enter the Number of Edges -\n"); scanf("%d", &edges); // Adjacency List is a vector of list. // Where each element is a pair<int, int> // pair.first -> the edge's destination // pair.second -> edge's weight vector< list< pair<int, int> > > adjacencyList(vertices + 1); printf("Enter the Edges V1 -> V2, of weight W\n"); for (int i = 1; i <= edges; ++i) { scanf("%d%d%d", &v1, &v2, &weight); // Adding Edge to the Directed Graph adjacencyList[v1].push_back(make_pair(v2, weight)); } printf("\nThe Adjacency List-\n"); // Printing Adjacency List for (int i = 1; i < adjacencyList.size(); ++i) { printf("adjacencyList[%d] ", i); list< pair<int, int> >::iterator itr = adjacencyList[i].begin(); while (itr != adjacencyList[i].end()) { printf(" -> %d(%d)", (*itr).first, (*itr).second); ++itr; } printf("\n"); } return 0; }
Feel free to comment if you have any doubts..! Keep practicing..! Happy Coding..! 😀
39 thoughts on “Adjacency List using C++ STL”
How to make the vertices refer to a string and not to int ?
Hi, sorry for the late reply. I created a new post for that, you’ll find the code there 🙂
http://theoryofprogramming.azurewebsites.net/2017/12/31/adjacency-list-string-vertices-using-c-stl/
wow cool
now I will try to connect it with bellman-ford
Nice.
How to make adjacency list if there are two weights are related to every single edge in an undirected graph?
Then instead of that pair, you could use a list, or you could use a pair where the second element of the pair is another pair. It will make the code complicated though. So I guess it would be better if you’d use an adjacency matrix in your case, by making the graph a 3D array.
In case of a undirected graph , cant we just push back the values for both the nodes eg:
for (int i = 1; i <= edges; ++i)
{
scanf("%d%d%d", &v1, &v2, &weight);
adjacencyList[v1].push_back(make_pair(v2, weight));
adjancencyList[v2].push_back(make_pair(v1,weight));
}
Hello very usefull your code, thanks fella. Do you have the code to create a topological sort from the adjacency list please?
No, not yet. Will make a post on it soon 🙂
Hello Vamsi. I want to do Graph programming using STL ( Graph library file ) But it is not available by default . So I installed LEMON graph library but I am not able to configure it so getting error like graph.h : no such file. Could u help me in that or will u suggest any other graph library file ??
This code results with Runtime Error since the index of vector is the maximum value of a vertex.The leads with an Runtime error
#include
#include
#include
using namespace std;
int main() {
int v,e,i,v1,source,destination;
cin>>v>>e;
vector<list > graph(v);
for(i=0;i>v1;
graph[i].push_back(v1);
}
for(i=0;i>source>>destination;
list::iterator it=graph[i].begin();
if(*it==source)
{
graph[i].push_back(destination);
}
}
for(i=0;i<graph.size();i++)
{
list::iterator itf=graph[i].begin();
while(itf!=graph[i].end())
{
cout<<*itf<<" ";
itf++;
}
cout<<endl;
}
// your code goes here
return 0;
}
check this out you will come to know where you made a mistake.Thank You
what is the complexity of make_pair and adjacencyList.size()
Both are O(1)
If I want to create such an algorithm with adjacency matrix instead adjacent list which must either change to the program
please guide me
In this case, if I resolve put values without order, like 1 -> 5, 8 -> 2. The algorithm will try access adjacencyList[4] and this will cause a segmentation fault, no?
Is there a special reason you used a list instead of a vector as a inner container to the outer vector? As far as i know vector<vector<pair > > adjacencyList(noOfVertices + 1) would also work.
I wanted it to resemble an adjacency list. We visualize an adjacency list as an array of linked lists. To mimic that I used a vector of lists.
Awesome simple implementation
Thank you! 🙂
Thank you so very much.
Apart from lucid explanation i loved the simplicity of your website sir( http://vamsisangam.com/ )
Thanks and great code 🙂
An advice use the C++ methods (cout, cin) instead of C functions
http://stackoverflow.com/questions/2872543/printf-vs-cout-in-c
hey great job..both of you…Keep up the great work!!!
Thanks a lot.!! 😀
Is Insertion in the list takes O(E) because you are using push_back
Each push back operation in the C++ STL List takes O(1) time… It is actually implemented as a doubly linked list… 😉
Why did you use printf and scanf?
I’m not much into C++ myself… So I generally prefer printf and scanf… You could use cout and cin without any issues 🙂
and one reason is that scanf and printf are faster than cin and cout…
What is v1 and v2 here?
They are two vertices between which there’s an edge. V1 → V2
It is the source and destination vertices connected by a single edge with weight ‘weight’
compact and easy to under stand – great job
Thanks a lot 😀
I got it, because it’s in scanf the C way. sorry I got confused, I usually use cin/cout
Everybody gets confused… 😉 … I am more used to printf() and scanf()… Let me know if you have any more doubts…! 😀
Why did you use references when calling to input edges and vertices?