假设我有一个带有相邻矩阵n * n的图形，如何使用c＃查找图形中所有可能的团队，记住一个团体意味着所有节点彼此连接，如果我们只有3个节点，那么到然后1必须连接2和2必须连接3和1必须连接3。
答案 0 :(得分：-1)
这是代码。我在下面有两个不同的版本
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Data;
namespace ConsoleApplication1
{
class Program
{
static void Main(string[] args)
{
//this one uses strings as node names
Dijkstra1.Program.Dijkstra();
//this one uses integers as node names
Dijkstra2.Program.Dijkstra();
}
}
}
namespace Dijkstra1
{
class Program
{
//A connected to B
//B connected to A, C , D
//C connected to B, D
//D connected to B, C , E
//E connected to D.
static List<List<String>> input1 = new List<List<string>>{
new List<String>() {"A","0","1","0","0","0"},
new List<String>() {"B","1","0","1","1","0"},
new List<String>() {"C","0","1","0","1","0"},
new List<String>() {"D","0","1","1","0","1"},
new List<String>() {"E","0","0","0","1","0"}
};
//A | 0 1 2 2 3 |
//B | 1 0 1 1 2 |
//C | 2 1 0 1 2 |
//D | 2 1 1 0 1 |
//E | 3 2 2 1 0 |
static List<List<String>> input2 = new List<List<string>>{
new List<String>() {"A","0","1","2","2","3"},
new List<String>() {"B","1","0","1","1","2"},
new List<String>() {"C","2","1","0","1","2"},
new List<String>() {"D","2","1","1","0","1"},
new List<String>() {"E","3","2","2","1","0"}
};
static public void Dijkstra()
{
CGraph cGraph;
cGraph = new CGraph(input1);
Console.WriteLine("-------------Input 1 -------------");
cGraph.PrintGraph();
cGraph = new CGraph(input2);
Console.WriteLine("-------------Input 2 -------------");
cGraph.PrintGraph();
}
class CGraph
{
List<Node> graph = new List<Node>();
public CGraph(List<List<String>> input)
{
foreach (List<string> inputRow in input)
{
Node newNode = new Node();
newNode.name = inputRow[0];
newNode.distanceDict = new Dictionary<string, Path>();
newNode.visited = false;
newNode.neighbors = new List<Neighbor>();
//for (int index = 1; index < inputRow.Count; index++)
//{
// //skip diagnol values so you don't count a nodes distance to itself.
// //node count start at zero
// // index you have to skip the node name
// //so you have to subtract one from the index
// if ((index - 1) != nodeCount)
// {
// string nodeName = input[index - 1][0];
// int distance = int.Parse(inputRow[index]);
// newNode.distanceDict.Add(nodeName, new List<string>() { nodeName });
// }
//}
graph.Add(newNode);
}
//initialize neighbors using predefined dictionary
for (int nodeCount = 0; nodeCount < graph.Count; nodeCount++)
{
for (int neighborCount = 0; neighborCount < graph.Count; neighborCount++)
{
//add one to neighbor count to skip Node name in index one
if (input[nodeCount][neighborCount + 1] != "0")
{
Neighbor newNeightbor = new Neighbor();
newNeightbor.node = graph[neighborCount];
newNeightbor.distance = int.Parse(input[nodeCount][neighborCount + 1]);
graph[nodeCount].neighbors.Add(newNeightbor);
Path path = new Path();
path.nodeNames = new List<string>() { input[neighborCount][0] };
//add one to neighbor count to skip Node name in index one
path.totalDistance = int.Parse(input[nodeCount][neighborCount + 1]);
graph[nodeCount].distanceDict.Add(input[neighborCount][0], path);
}
}
}
foreach (Node node in graph)
{
foreach (Node nodex in graph)
{
node.visited = false;
}
TransverNode(node);
}
}
public class Neighbor
{
public Node node { get; set; }
public int distance { get; set; }
}
public class Path
{
public List<string> nodeNames { get; set; }
public int totalDistance { get; set; }
}
public class Node
{
public string name { get; set; }
public Dictionary<string, Path> distanceDict { get; set; }
public Boolean visited { get; set; }
public List<Neighbor> neighbors { get; set; }
}
static void TransverNode(Node node)
{
if (!node.visited)
{
node.visited = true;
foreach (Neighbor neighbor in node.neighbors)
{
TransverNode(neighbor.node);
string neighborName = neighbor.node.name;
int neighborDistance = neighbor.distance;
//compair neighbors dictionary with current dictionary
//update current dictionary as required
foreach (string key in neighbor.node.distanceDict.Keys)
{
if (key != node.name)
{
int neighborKeyDistance = neighbor.node.distanceDict[key].totalDistance;
if (node.distanceDict.ContainsKey(key))
{
int currentDistance = node.distanceDict[key].totalDistance;
if (neighborKeyDistance + neighborDistance < currentDistance)
{
List<string> nodeList = new List<string>();
nodeList.AddRange(neighbor.node.distanceDict[key].nodeNames);
nodeList.Insert(0, neighbor.node.name);
node.distanceDict[key].nodeNames = nodeList;
node.distanceDict[key].totalDistance = neighborKeyDistance + neighborDistance;
}
}
else
{
List<string> nodeList = new List<string>();
nodeList.AddRange(neighbor.node.distanceDict[key].nodeNames);
nodeList.Insert(0, neighbor.node.name);
Path path = new Path();
path.nodeNames = nodeList;
path.totalDistance = neighbor.distance + neighborKeyDistance;
node.distanceDict.Add(key, path);
}
}
}
}
}
}
public void PrintGraph()
{
foreach (Node node in graph)
{
Console.WriteLine("Node : {0}", node.name);
foreach (string key in node.distanceDict.Keys.OrderBy(x => x))
{
Console.WriteLine(" Distance to node {0} = {1}, Path : {2}", key, node.distanceDict[key].totalDistance, string.Join(",", node.distanceDict[key].nodeNames.ToArray()));
}
}
}
}
}
}
namespace Dijkstra2
{
class Program
{
//0---1---2---3
// |
// 4
// |
// 5---6---7
// \ /
// 8
// |
// 9
static List<List<int>> input1 = new List<List<int>>
{ // 0 1 2 3 4 5 6 7 8 9
new List<int>() {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
new List<int>() {1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0},
new List<int>() {2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0},
new List<int>() {3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
new List<int>() {4, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0},
new List<int>() {5, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0},
new List<int>() {6, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0},
new List<int>() {7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
new List<int>() {8, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1},
new List<int>() {9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
};
static public void Dijkstra()
{
CGraph cGraph;
cGraph = new CGraph(input1);
Console.WriteLine("-------------Input 1 -------------");
cGraph.PrintGraph();
}
class CGraph
{
List<Node> graph = new List<Node>();
public CGraph(List<List<int>> input)
{
foreach (List<int> inputRow in input)
{
Node newNode = new Node();
newNode.name = inputRow[0];
newNode.distanceDict = new Dictionary<int, Path>();
newNode.visited = false;
newNode.neighbors = new List<Neighbor>();
//for (int index = 1; index < inputRow.Count; index++)
//{
// //skip diagnol values so you don't count a nodes distance to itself.
// //node count start at zero
// // index you have to skip the node name
// //so you have to subtract one from the index
// if ((index - 1) != nodeCount)
// {
// string nodeName = input[index - 1][0];
// int distance = int.Parse(inputRow[index]);
// newNode.distanceDict.Add(nodeName, new List<string>() { nodeName });
// }
//}
graph.Add(newNode);
}
//initialize neighbors using predefined dictionary
for (int nodeCount = 0; nodeCount < graph.Count; nodeCount++)
{
for (int neighborCount = 0; neighborCount < graph.Count; neighborCount++)
{
//add one to neighbor count to skip Node name in index one
if (input[nodeCount][neighborCount + 1] != 0)
{
Neighbor newNeightbor = new Neighbor();
newNeightbor.node = graph[neighborCount];
newNeightbor.distance = input[nodeCount][neighborCount + 1];
graph[nodeCount].neighbors.Add(newNeightbor);
Path path = new Path();
path.nodeNames = new List<int>() { input[neighborCount][0] };
//add one to neighbor count to skip Node name in index one
path.totalDistance = input[nodeCount][neighborCount + 1];
graph[nodeCount].distanceDict.Add(input[neighborCount][0], path);
}
}
}
foreach (Node node in graph)
{
foreach (Node nodex in graph)
{
node.visited = false;
}
TransverNode(node);
}
}
public class Neighbor
{
public Node node { get; set; }
public int distance { get; set; }
}
public class Path
{
public List<int> nodeNames { get; set; }
public int totalDistance { get; set; }
}
public class Node
{
public int name { get; set; }
public Dictionary<int, Path> distanceDict { get; set; }
public Boolean visited { get; set; }
public List<Neighbor> neighbors { get; set; }
}
static void TransverNode(Node node)
{
if (!node.visited)
{
node.visited = true;
foreach (Neighbor neighbor in node.neighbors)
{
TransverNode(neighbor.node);
int neighborName = neighbor.node.name;
int neighborDistance = neighbor.distance;
//compair neighbors dictionary with current dictionary
//update current dictionary as required
foreach (int key in neighbor.node.distanceDict.Keys)
{
if (key != node.name)
{
int neighborKeyDistance = neighbor.node.distanceDict[key].totalDistance;
if (node.distanceDict.ContainsKey(key))
{
int currentDistance = node.distanceDict[key].totalDistance;
if (neighborKeyDistance + neighborDistance < currentDistance)
{
List<int> nodeList = new List<int>();
nodeList.AddRange(neighbor.node.distanceDict[key].nodeNames);
nodeList.Insert(0, neighbor.node.name);
node.distanceDict[key].nodeNames = nodeList;
node.distanceDict[key].totalDistance = neighborKeyDistance + neighborDistance;
}
}
else
{
List<int> nodeList = new List<int>();
nodeList.AddRange(neighbor.node.distanceDict[key].nodeNames);
nodeList.Insert(0, neighbor.node.name);
Path path = new Path();
path.nodeNames = nodeList;
path.totalDistance = neighbor.distance + neighborKeyDistance;
node.distanceDict.Add(key, path);
}
}
}
}
}
}
public void PrintGraph()
{
foreach (Node node in graph)
{
Console.WriteLine("Node : {0}", node.name);
foreach (int key in node.distanceDict.Keys.OrderBy(x => x))
{
Console.WriteLine(" Distance to node {0} = {1}, Path : {2}", key, node.distanceDict[key].totalDistance, string.Join(",", node.distanceDict[key].nodeNames.ToArray()));
}
}
}
}
}
}