/// <summary>
/// 广度遍历具体算法
/// </summary>
/// <param name="graph"></param>
public void BFSM(ref MatrixGraph graph, int vertex)
{
//这里就用系统的队列
Queue <int> queue = new Queue <int>();
//先把顶点入队
queue.Enqueue(vertex);
//标记此顶点已经被访问
graph.IsTrav[vertex] = true;
//输出顶点
Console.Write(" ->" + graph.Vertexs[vertex]);
//广度遍历顶点的邻接点
while (queue.Count != 0)
{
var temp = queue.Dequeue();
//遍历矩阵的横坐标
for (int i = 0; i < graph.VertexCnt; i++)
{
if (!graph.IsTrav[i] && graph.Edges[temp, i] != 0)
{
graph.IsTrav[i] = true;
queue.Enqueue(i);
//输出未被访问的顶点
Console.Write(" ->" + graph.Vertexs[i]);
}
}
}
}
/// <summary>
/// 深度递归的具体算法
/// </summary>
/// <param name="graph"></param>
/// <param name="vertex"></param>
public void DFSM(ref MatrixGraph graph, int vertex)
{
Console.Write("->" + graph.Vertexs[vertex]);
//标记为已访问
graph.IsTrav[vertex] = true;
//要遍历的六个点
for (int i = 0; i < graph.VertexCnt; i++)
{
if (graph.IsTrav[i] == false && graph.Edges[vertex, i] != 0)
{
//深度递归
DFSM(ref graph, i);
}
}
}
/// <summary>
/// 广度优先
/// </summary>
/// <param name="graph"></param>
public void BFSTraverse(MatrixGraph graph)
{
//访问标记默认初始化
for (int i = 0; i < graph.VertexCnt; i++)
{
graph.IsTrav[i] = false;
}
//遍历每个顶点
for (int i = 0; i < graph.VertexCnt; i++)
{
//广度遍历未访问过的顶点
if (!graph.IsTrav[i])
{
BFSM(ref graph, i);
}
}
}
/// <summary>
/// 构造图
/// </summary>
/// <returns></returns>
public MatrixGraph CreateGraph()
{
//初始化图的信息：顶点个数、边条数、图类型
Console.WriteLine("请输入创建图的顶点个数，边条数，是否为无向图(0,1来表示)，以逗号隔开：");
List <int> initData = Console.ReadLine().Split(',').Select(i => int.Parse(i)).ToList();
MatrixGraph graph = new MatrixGraph(initData[0], initData[1], initData[2]);
//请输入各顶点的信息
Console.WriteLine("请输入各顶点信息：");
for (int i = 0; i < graph.VertexCnt; i++)
{
Console.Write("\n第" + (i + 1) + "个顶点为:");
string single = Console.ReadLine();
//顶点信息加入集合中
graph.Vertexs[i] = single;
}
//请输入各边的信息
Console.WriteLine("\n请输入构成两个顶点的边和权值，以逗号隔开。\n");
for (int i = 0; i < graph.EdgeCnt; i++)
{
Console.Write("第" + (i + 1) + "条边:\t");
//输入边的起点、终点、权重
initData = Console.ReadLine().Split(',').Select(j => int.Parse(j)).ToList();
int start = initData[0];
int end = initData[1];
int weight = initData[2];
//给矩阵指定坐标位置赋值
graph.Edges[start - 1, end - 1] = weight;
//如果是无向图，则数据呈“二，四”象限对称
if (graph.GraphType == 1)
{
graph.Edges[end - 1, start - 1] = weight;
}
}
//返回构建完成的图
return(graph);
}
