如何在 Java 中生成给定边数的随机无向图?
无向图是图,即连接在一起的一组对象(称为顶点或节点),其中所有的边都是双向的。无向图有时被称为无向网络。相反,边指向一个方向的图叫做有向图。
无向图:双向
示例:
Input:
Enter the number of Edges :
5
Output:
The Generated Random Graph is :
1 -> { 5 2 }
2 -> { 1 }
3 -> { Isolated Vertex! }
4 -> { 6 }
5 -> { 1 }
6 -> { 4 10 }
7 -> { Isolated Vertex! }
8 -> { 10 }
9 -> { Isolated Vertex! }
10 -> { 8 6 }
Input:
Enter the number of Edges :
10
Output:
The Generated Random Graph is :
1 -> { 4 9 }
2 -> { 8 }
3 -> { 8 }
4 -> { 1 6 }
5 -> { 6 }
6 -> { 10 5 8 9 4 }
7 -> { 8 }
8 -> { 7 3 6 2 }
9 -> { 1 6 }
10 -> { 6 }
进场:
- 输入随机有向无环图的边数。
- 迭代地在两个随机顶点之间建立连接。
- 如果某个顶点的度数为零,则断言“孤立顶点”。
实施:
Java 语言(一种计算机语言,尤用于创建网站)
// Java program to Generate a Random Undirected Graph
// for a GivenNumber of Edges
// importing generic packages
import java.util.*;
import java.util.Random;
public class RandomUG {
static int maxVertex = 10;
// Function to generate random graph
public static void generateRandomGraphs(int e)
{
int i = 0, j = 0, count = 0;
int[][] edge = new int[e][2];
Random rand = new Random();
// Build a connection between two random vertex
while (i < e) {
edge[i][0] = rand.nextInt(maxVertex) + 1;
edge[i][1] = rand.nextInt(maxVertex) + 1;
// using rand to pick a random integer in range
// of (1 - maxVertex)
i++;
}
System.out.println(
"The Generated Random Graph is :");
// Print the Graph
for (i = 0; i < maxVertex; i++) {
count = 0;
System.out.print((i + 1) + " -> { ");
for (j = 0; j < e; j++) {
if (edge[j][0] == i + 1) {
System.out.print(edge[j][1] + " ");
count++;
}
else if (edge[j][1] == i + 1) {
System.out.print(edge[j][0] + " ");
count++;
}
// print “Isolated vertex” for the vertex
// having zero degree.
else if (j == e - 1 && count == 0)
System.out.print("Isolated Vertex!");
}
System.out.print(" }\n");
}
}
public static void main(String args[]) throws Exception
{
int e = 6;
System.out.println("Enter the number of Edges : " +e);
// Function to generate a Random unDirected Graph
generateRandomGraphs(e);
}
}
Output
Enter the number of Edges : 6
The Generated Random Graph is :
1 -> { 8 }
2 -> { 2 }
3 -> { Isolated Vertex! }
4 -> { 5 }
5 -> { 4 6 }
6 -> { 5 }
7 -> { 9 }
8 -> { 1 10 }
9 -> { 7 }
10 -> { 8 }
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