C#验证图是否为普通树

参照此问题:https://www.cnblogs.com/mdumpling/p/9142410.html

写了个C#版本的,简单试了试,应该没问题

 1 /// <summary>
 2         /// 验证图是否为普通树
 3         /// </summary>
 4         /// <param name="n">图的节点数</param>
 5         /// <param name="matrix">图的边集合</param>
 6         /// <returns></returns>
 7         private static bool GraphIsAOrdinaryTree(int n, int[,] matrix)
 8         {
 9             //(普通树:①没有回路 ②节点全连通
10             int row = matrix.GetLength(0);//边数
11             int column = matrix.GetLength(1);
12             if (column != 2)//只针对列数为2的矩阵
13                 return false;
14             if (row != n - 1)//没有回路(边数=节点数-1))
15                 return false;
16 
17             var startPoints = new List<int>();
18             var endPoints = new List<int>();
19             for (int i = 0; i < row; i++)
20             {
21                 var num1 = matrix[i, 0];
22                 var num2 = matrix[i, 1];
23                 if (matrix[i, 0] < matrix[i, 1])
24                 {
25                     startPoints.Add(num1);
26                     endPoints.Add(num2);
27                 }
28                 else
29                 {
30                     startPoints.Add(num2);
31                     endPoints.Add(num1);
32                 }
33             }
34             if (startPoints.Union(endPoints).Distinct().Count() != n)//节点全连通(每个节点至少出现一次)
35                 return false;
36 
37             return true;
38         }

原文地址:https://www.cnblogs.com/dyfisgod/p/15560170.html