From c8c32529b94125d7ecc6adbff6dbab33edfa0818 Mon Sep 17 00:00:00 2001 From: stefanzan Date: Wed, 30 Dec 2020 10:52:45 +0800 Subject: [PATCH 1/2] update README.md. --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index c7dc5aa..7c746b8 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@ ### 截止日期 -2021.1.6 +2021.1.13 ### 基础 -- Gitee From 8671634ead654e4fa54fef3c394ab6b866818d12 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E9=99=88=E9=94=A6=E9=93=B6?= <124762674@qq.com> Date: Thu, 14 Jan 2021 12:39:24 +0800 Subject: [PATCH 2/2] First Commit --- Grap/.vs/Grap/v15/.suo | Bin 0 -> 35840 bytes Grap/.vs/Grap/v15/Server/sqlite3/db.lock | 0 Grap/.vs/Grap/v15/Server/sqlite3/storage.ide | Bin 0 -> 4096 bytes .../Grap/v15/Server/sqlite3/storage.ide-shm | Bin 0 -> 32768 bytes .../Grap/v15/Server/sqlite3/storage.ide-wal | Bin 0 -> 1557392 bytes Grap/Grap.sln | 25 + Grap/Grap/Grap.csproj | 8 + Grap/Grap/Graph.cs | 233 ++++++ Grap/Grap/Program.cs | 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+ + + diff --git a/Grap/Grap/Graph.cs b/Grap/Grap/Graph.cs new file mode 100644 index 0000000..f0cf740 --- /dev/null +++ b/Grap/Grap/Graph.cs @@ -0,0 +1,233 @@ +using System; +using System.Collections; +using System.Collections.Generic; +using System.Text; + +namespace Grap +{ + public class Graph + { + //图中所能包含的点上限 + private const int Number = 10; + //顶点数组 + private Vertex[] vertiexes; + //邻接矩阵 + public int[,] adjmatrix; + //统计当前图中有几个点 + int numVerts = 0; + //初始化图 + public Graph() + { + //初始化邻接矩阵和顶点数组 + adjmatrix = new Int32[Number, Number]; + vertiexes = new Vertex[Number]; + //将代表邻接矩阵的表全初始化为0 + for (int i = 0; i < Number; i++) + { + for (int j = 0; j < Number; j++) + { + adjmatrix[i, j] = 0; + } + } + } + + //向图中添加节点 + public void AddVertex(String v) + { + vertiexes[numVerts] = new Vertex(v); + numVerts++; + } + //向图中添加有向边 + public void AddEdge(int vertex1, int vertex2) + { + adjmatrix[vertex1, vertex2] = 1; + //adjmatrix[vertex2, vertex1] = 1; + } + //显示点 + public void DisplayVert(int vertexPosition) + { + Console.WriteLine(vertiexes[vertexPosition] + " "); + } + //寻找图中没有后继节点的点 + //具体表现为邻接矩阵中某一列全为0 + //此时返回行号，如果找不到返回-1 + private int FindNoSuccessor() + { + bool isEdge; + //循环行 + for (int i = 0; i < numVerts; i++) + { + isEdge = false; + //循环列，有一个1就跳出循环 + for (int j = 0; j < numVerts; j++) + { + if (adjmatrix[i, j] == 1) + { + isEdge = true; + break; + } + } + if (!isEdge) + { + return i; + } + } + return -1; + + } + //删除图中的点 + //需要两个操作，分别从数组中删除点 + //从邻接矩阵中消去被删点的行和列 + private void DelVertex(int vert) + { + //保证不越界 + if (vert <= numVerts - 1) + { + //删除节点 + for (int i = vert; i < numVerts; i++) + { + vertiexes[i] = vertiexes[i + 1]; + } + //删除邻接矩阵的行 + for (int j = vert; j < numVerts; j++) + { + MoveRow(j, numVerts); + } + //删除邻接矩阵中的列，因为已经删了行，所以少一列 + for (int k = vert; k < numVerts - 1; k++) + { + MoveCol(k, numVerts - 1); + } + //删除后减少一个 + numVerts--; + } + } + //辅助方法，移动邻接矩阵中的行 + private void MoveRow(int row, int length) + { + for (int col = row; col < numVerts; col++) + { + adjmatrix[row, col] = adjmatrix[row + 1, col]; + } + } + //辅助方法，移动邻接矩阵中的列 + private void MoveCol(int col, int length) + { + for (int row = col; row < numVerts; row++) + { + adjmatrix[row, col] = adjmatrix[row, col + 1]; + } + } + //拓扑排序 + //找到没有后继节点的节点，删除，加入一个栈，然后输出 + public void TopSort() + { + int origVerts = numVerts; + //存放返回节点的栈 + Stack result = new Stack(); + while (numVerts > 0) + { + //找到第一个没有后继节点的节点 + int currVertex = FindNoSuccessor(); + if (currVertex == -1) + { + Console.WriteLine("图为环路图，不能搞拓扑排序"); + return; + } + //如果找到，将其加入返回结果栈 + result.Push(vertiexes[currVertex].Data); + //然后删除此节点 + DelVertex(currVertex); + } + /*输出排序后的结果*/ + Console.Write("拓扑排序的顺序为:"); + while (result.Count > 0) + { + Console.Write(result.Pop() + " "); + } + /*输出排序后的结果*/ + } + //从邻接矩阵查找给定点第一个相邻且未被访问过的点 + //参数v是给定点在邻接矩阵的行 + private int GetAdjUnvisitedVertex(int v) + { + for (int j = 0; j < numVerts; j++) + { + if (adjmatrix[v, j] == 1 && vertiexes[j].IsVisited == false) + { + return j; + } + } + return -1; + } + //深度优先遍历 + public void DepthFirstSearch() + { + //声明一个存储临时结果的栈 + System.Collections.Stack s = new Stack(); + //先访问第一个节点 + vertiexes[0].IsVisited = true; + DisplayVert(0); + s.Push(0); + int v; + + while (s.Count > 0) + { + //获得和当前节点连接的未访问过节点的序号 + v = GetAdjUnvisitedVertex((int)s.Peek()); + if (v == -1) + { + s.Pop(); + } + else + { + //标记为已经被访问过 + vertiexes[v].IsVisited = true; + DisplayVert(v); + s.Push(v); + } + } + //重置所有节点为未访问过 + for (int u = 0; u < numVerts; u++) + { + vertiexes[u].IsVisited = false; + } + + + } + //广度优先遍历 + public void BreadthFirstSearch() + { + Queue q = new Queue(); + /*首先访问第一个节点*/ + vertiexes[0].IsVisited = true; + DisplayVert(0); + q.Enqueue(0); + /*第一个节点访问结束*/ + + int vert1, vert2; + while (q.Count > 0) + { + /*首先访问同层级第一个节点*/ + vert1 = (int)q.Dequeue(); + vert2 = GetAdjUnvisitedVertex(vert1); + /*结束*/ + + while (vert2 != -1) + { + /*首先访问第二个节点*/ + vertiexes[vert2].IsVisited = true; + DisplayVert(vert2); + q.Enqueue(vert2); + //寻找邻接的 + vert2 = GetAdjUnvisitedVertex(vert1); + } + } + //重置所有节点为未访问过 + for (int u = 0; u < numVerts; u++) + { + vertiexes[u].IsVisited = false; + } + } + } +} diff --git a/Grap/Grap/Program.cs b/Grap/Grap/Program.cs new file mode 100644 index 0000000..1696c97 --- /dev/null +++ b/Grap/Grap/Program.cs @@ -0,0 +1,45 @@ +using System; + +namespace Grap +{ + class Program + { + public static void DepthFirstSearchAndBreadthFirstSearch() + { + Graph g = new Graph(); + g.AddVertex("A"); + g.AddVertex("B"); + g.AddVertex("C"); + g.AddVertex("D"); + g.AddVertex("E"); + g.AddVertex("F"); + g.AddVertex("G"); + g.AddEdge(0, 1); + g.AddEdge(0, 2); + g.AddEdge(1, 3); + g.AddEdge(2, 4); + g.AddEdge(3, 5); + g.AddEdge(4, 6); + Console.WriteLine("\n深度优先遍历"); + g.DepthFirstSearch(); + Console.WriteLine("\n广度优先遍历"); + g.BreadthFirstSearch(); + Console.ReadKey(); + } + static void Main(string[] args) + { + Graph g = new Graph(); + g.AddVertex("A"); + g.AddVertex("B"); + g.AddVertex("C"); + g.AddVertex("D"); + g.AddEdge(0, 1); + g.AddEdge(1, 2); + g.AddEdge(2, 3); + g.AddEdge(3, 4); + g.TopSort(); + Console.ReadKey(); + } + + } +} diff --git a/Grap/Grap/Vertex.cs b/Grap/Grap/Vertex.cs new file mode 100644 index 0000000..be469c0 --- /dev/null +++ b/Grap/Grap/Vertex.cs @@ -0,0 +1,16 @@ +using System; +using System.Collections.Generic; +using System.Text; + +namespace Grap +{ + public class Vertex + { + public string Data; + public bool IsVisited; + public Vertex(string Vertexdata) + { + Data = Vertexdata; + } + } +} diff --git a/Grap/Grap/bin/Debug/netcoreapp2.2/Grap.deps.json b/Grap/Grap/bin/Debug/netcoreapp2.2/Grap.deps.json new file mode 100644 index 0000000..7018860 --- /dev/null +++ b/Grap/Grap/bin/Debug/netcoreapp2.2/Grap.deps.json @@ -0,0 +1,23 @@ +{ + "runtimeTarget": { + "name": ".NETCoreApp,Version=v2.2", + "signature": "da39a3ee5e6b4b0d3255bfef95601890afd80709" + }, + "compilationOptions": {}, + "targets": { + ".NETCoreApp,Version=v2.2": { + "Grap/1.0.0": { + 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"netcoreapp2.2", + "framework": { + "name": "Microsoft.NETCore.App", + "version": "2.2.0" + } + } +} \ No newline at end of file diff --git a/Grap/Grap/obj/Debug/netcoreapp2.2/Grap.AssemblyInfo.cs b/Grap/Grap/obj/Debug/netcoreapp2.2/Grap.AssemblyInfo.cs new file mode 100644 index 0000000..a3b537f --- /dev/null +++ b/Grap/Grap/obj/Debug/netcoreapp2.2/Grap.AssemblyInfo.cs @@ -0,0 +1,23 @@ +//------------------------------------------------------------------------------ +// +// 此代码由工具生成。 +// 运行时版本:4.0.30319.42000 +// +// 对此文件的更改可能会导致不正确的行为，并且如果 +// 重新生成代码，这些更改将会丢失。 +// +//------------------------------------------------------------------------------ + +using System; +using System.Reflection; + +[assembly: System.Reflection.AssemblyCompanyAttribute("Grap")] +[assembly: System.Reflection.AssemblyConfigurationAttribute("Debug")] +[assembly: System.Reflection.AssemblyFileVersionAttribute("1.0.0.0")] +[assembly: System.Reflection.AssemblyInformationalVersionAttribute("1.0.0")] +[assembly: 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