Print nodes having maximum and minimum degrees

Given an undirected graph having N nodes, the task is to print the nodes having minimum and maximum degree.

Examples:

Input:
1-----2
|     |
3-----4
Output:
Nodes with maximum degree : 1 2 3 4 
Nodes with minimum degree : 1 2 3 4 
Every node has a degree of 2.

Input:
    1
   / \
  2   3
 /
4
Output:
Nodes with maximum degree : 1 2 
Nodes with minimum degree : 3 4

Approach: For an undirected graph, the degree of a node is the number of edges incident to it, so the degree of each node can be calculated by counting its frequency in the list of edges. Hence the approach is to use a map to calculate the frequency of every vertex from the edge list and use the map to find the nodes having maximum and minimum degrees.



Below is the implementation of the above approach:

C++

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// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
  
// Function to print the nodes having
// maximum and minimum degree
void minMax(int edges[][2], int len, int n)
{
  
    // Map to store the degrees of every node
    map<int, int> m;
  
    for (int i = 0; i < len; i++) {
  
        // Storing the degree for each node
        m[edges[i][0]]++;
        m[edges[i][1]]++;
    }
  
    // maxi and mini variables to store
    // the maximum and minimum degree
    int maxi = 0;
    int mini = n;
  
    for (int i = 1; i <= n; i++) {
        maxi = max(maxi, m[i]);
        mini = min(mini, m[i]);
    }
  
    // Printing all the nodes with maximum degree
    cout << "Nodes with maximum degree : ";
    for (int i = 1; i <= n; i++) {
        if (m[i] == maxi)
            cout << i << " ";
    }
    cout << endl;
  
    // Printing all the nodes with minimum degree
    cout << "Nodes with minimum degree : ";
    for (int i = 1; i <= n; i++) {
        if (m[i] == mini)
            cout << i << " ";
    }
}
  
// Driver code
int main()
{
  
    // Count of nodes and edges
    int n = 4, m = 6;
  
    // The edge list
    int edges[][2] = { { 1, 2 },
                       { 1, 3 },
                       { 1, 4 },
                       { 2, 3 },
                       { 2, 4 },
                       { 3, 4 } };
  
    minMax(edges, m, 4);
  
    return 0;
}

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Python3














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# Python3 implementation of the approach 


  


# Function to print the nodes having  


# maximum and minimum degree  


def minMax(edges, leng, n) :  


  


    # Map to store the degrees of every node  


    m = {}; 


      


    for i in range(leng) : 


        m[edges[i][0]] = 0; 


        m[edges[i][1]] = 0; 


          


    for i in range(leng) : 


          


        # Storing the degree for each node 


        m[edges[i][0]] += 1; 


        m[edges[i][1]] += 1;  


  


    # maxi and mini variables to store  


    # the maximum and minimum degree  


    maxi = 0;  


    mini = n;  


  


    for i in range(1, n + 1) : 


        maxi = max(maxi, m[i]);  


        mini = min(mini, m[i]);  


  


    # Printing all the nodes  


    # with maximum degree  


    print("Nodes with maximum degree : ",  


                                end = "") 


      


    for i in range(1, n + 1) : 


        if (m[i] == maxi) : 


            print(i, end = " ");  


  


    print() 


  


    # Printing all the nodes  


    # with minimum degree  


    print("Nodes with minimum degree : ",  


                                end = "") 


      


    for i in range(1, n + 1) : 


        if (m[i] == mini) : 


            print(i, end = " ");  


  


# Driver code  


if __name__ == "__main__" :  


  


    # Count of nodes and edges  


    n = 4; m = 6;  


  


    # The edge list  


    edges = [[ 1, 2 ], [ 1, 3 ],  


             [ 1, 4 ], [ 2, 3 ],  


             [ 2, 4 ], [ 3, 4 ]];  


  


    minMax(edges, m, 4);  


  


# This code is contributed by AnkitRai01 



















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Output:


Nodes with maximum degree : 1 2 3 4 
Nodes with minimum degree : 1 2 3 4






          
          
          
          

            

    

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