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📜  打印具有最大和最小度数的节点

📅  最后修改于: 2021-10-25 05:12:41             🧑  作者: Mango

给定一个具有N 个节点的无向图,任务是打印具有最小和最大度数的节点。

例子:

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 

方法:对于无向图,一个节点的度数是与它相关的边的数量,因此可以通过计算每个节点在边列表中的频率来计算每个节点的度数。因此,该方法是使用地图来计算边列表中每个顶点的频率,并使用该地图找到具有最大和最小度数的节点。

下面是上述方法的实现:

C++
// C++ implementation of the approach
#include 
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 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;
}


Java
// Java implementation of the approach
import java.util.*;
  
class GFG 
{
  
// Function to print the nodes having
// maximum and minimum degree
static void minMax(int edges[][], int len, int n)
{
  
    // Map to store the degrees of every node
    HashMap m = new HashMap();
  
    for (int i = 0; i < len; i++) 
    {
  
        // Storing the degree for each node
        if(m.containsKey(edges[i][0]))
        {
            m.put(edges[i][0], m.get(edges[i][0]) + 1);
        }
        else
        {
            m.put(edges[i][0], 1);
        }
        if(m.containsKey(edges[i][1]))
        {
            m.put(edges[i][1], m.get(edges[i][1]) + 1);
        }
        else
        {
            m.put(edges[i][1], 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 = Math.max(maxi, m.get(i));
        mini = Math.min(mini, m.get(i));
    }
  
    // Printing all the nodes with maximum degree
    System.out.print("Nodes with maximum degree : ");
    for (int i = 1; i <= n; i++) 
    {
        if (m.get(i) == maxi)
            System.out.print(i + " ");
    }
    System.out.println();
  
    // Printing all the nodes with minimum degree
    System.out.print("Nodes with minimum degree : ");
    for (int i = 1; i <= n; i++)
    {
        if (m.get(i) == mini)
            System.out.print(i + " ");
    }
}
  
// Driver code
public static void main(String[] args)
{
    // Count of nodes and edges
    int n = 4, m = 6;
  
    // The edge list
    int edges[][] = {{ 1, 2 }, { 1, 3 },
                     { 1, 4 }, { 2, 3 },
                     { 2, 4 }, { 3, 4 }};
  
    minMax(edges, m, 4);
}
}
  
// This code is contributed by PrinciRaj1992


Python3
# 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


C#
// C# implementation of the approach
using System;
using System.Collections.Generic;
  
class GFG 
{
  
// Function to print the nodes having
// maximum and minimum degree
static void minMax(int [,]edges, int len, int n)
{
  
    // Map to store the degrees of every node
    Dictionary m = new Dictionary();
  
    for (int i = 0; i < len; i++) 
    {
  
        // Storing the degree for each node
        if(m.ContainsKey(edges[i, 0]))
        {
            m[edges[i, 0]] = m[edges[i, 0]] + 1;
        }
        else
        {
            m.Add(edges[i, 0], 1);
        }
        if(m.ContainsKey(edges[i, 1]))
        {
            m[edges[i, 1]] = m[edges[i, 1]] + 1;
        }
        else
        {
            m.Add(edges[i, 1], 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 = Math.Max(maxi, m[i]);
        mini = Math.Min(mini, m[i]);
    }
  
    // Printing all the nodes with maximum degree
    Console.Write("Nodes with maximum degree : ");
    for (int i = 1; i <= n; i++) 
    {
        if (m[i] == maxi)
            Console.Write(i + " ");
    }
    Console.WriteLine();
  
    // Printing all the nodes with minimum degree
    Console.Write("Nodes with minimum degree : ");
    for (int i = 1; i <= n; i++)
    {
        if (m[i] == mini)
            Console.Write(i + " ");
    }
}
  
// Driver code
public static void Main(String[] args)
{
    // Count of nodes and edges
    int m = 6;
  
    // The edge list
    int [,]edges = {{ 1, 2 }, { 1, 3 },
                    { 1, 4 }, { 2, 3 },
                    { 2, 4 }, { 3, 4 }};
  
    minMax(edges, m, 4);
}
}
  
// This code is contributed by 29AjayKumar


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