用DFS c++实现一个从邻接表到边表的图



我有一个包含无向图邻接表的文本文件,例子:
1 2 3
2 1 3 4
3 1 2 4
4 2 3
我正在读取文件并将其存储在邻接表中,
我想把这个数据传输到一个边列表,
我试着找出所有唯一的边对
使用DFS,我得到了对,但它们不是唯一的,
我试图消除重复对(重复对是<1,2>与<2,1>相同),但它没有发生.......

下面是我得到的输出:

度1为:2
顶点数为:4
边数为:5
最大度数为:3
最小度为:2
边列表:..........


1 2边缘1 2插入
背部:2 1

2

3
边缘2 3插入
背部:31 1
边缘1插入
背部:3 2

4

3
边缘3 4插入
背面:4 2
边缘4 2插入
背面:4 3
边缘4 3插入
背面:2 4
边缘2 4插入
背部:1 3


谢谢…抱歉,代码很长.........

#include <iostream>
#include <fstream>
#include <limits>
#include <vector>
#include <list>
#include <string>  
#include <sstream>
#include <cstdlib>
#include <map>
using namespace std;
typedef struct EdgeList
{
    int u;
    int v;
}EdgeList;

class Graph
{
    public:
        vector<list<int> > adj;
        int V;
        int E;
        EdgeList *edges;
        Graph(int N):adj(N+1)
        {
            V = N;
        }
        Graph(int N, int M):adj(N+1)
        {
            V = N; 
            E = M; 
            int x = E+550;
            edges = new EdgeList[x];
        }
        void addEdgeList(Graph g, int u, int v);
        bool ischeckEdge(Graph g,int u,int v);
        void addEdge(int u, int v);
        void deleteSelfLoops(Graph g);
        int degree(Graph g, int v);
        int maxDegree(Graph g);
        int minDegree(Graph g);
        int edgeCount(Graph g);
        int numberOfSelfLoops(Graph g); 
        bool isEdge(Graph g, int u,int v);
        void DFS(Graph g);
        void dfsUtil(Graph g, int v, bool visited[] );              
};
int e = 0;
void Graph::addEdgeList(Graph g, int u, int v)
{
    if(ischeckEdge(g,u,v))
    {
        cout<<"Edge "<<u<<" "<<v<<" Inserted "<<endl;
        g.edges[e].u = u;
        g.edges[e].v = v;
        e++;
    }
}
bool Graph::ischeckEdge(Graph g, int u, int v)
{
    bool a,b,c,d;

    for(int i=0;i<=g.E; i++)
    {
        if( ((g.edges[i].u == u || g.edges[i].v == v) && (!g.edges[i].u == u || !g.edges[i].v == v)) )
        {
            cout<<"First block" ;
            return false;
        }
        else if( ((g.edges[i].u == v || g.edges[i].v == u) && (!g.edges[i].u == v || !g.edges[i].v == u)))
        {
            cout<<" sec block";
            return false;
        }
        else 
        {
            return true;
        }
    }
}

void Graph::dfsUtil(Graph g, int v, bool visited[])
{
    list<int> temp;
    temp  = g.adj[v];
    if(!visited[v])
    {
         visited[v] = true; 
    }
    list<int>::iterator j;
    for(j = temp.begin();j != temp.end(); j++)
    {
        if(!visited[*j])
        {
            cout<<endl<<v<<" "<<*j<<endl;// print edges
            g.addEdgeList(g,v,*j);
            dfsUtil(g, *j, visited);
        }
        else //back edge
        {
            cout<<" Back : "<<v<<" "<<*j<<endl;
            g.addEdgeList(g,v,*j);
        }
    }   
}
void Graph::DFS(Graph g)
{
    bool *visited = new bool[g.V+1];
    int *parent = new int[g.V+1];
    for(int i = 0; i <= g.V; i++)
    {
         visited[i] = false;
         parent[i] = -1;
    }
    for(int v = 0; v <= g.V; v++)
    {
        if(!visited[v])
        {
            dfsUtil(g, v , visited);
        }
    }
 }
 bool Graph::isEdge(Graph g, int u, int v)
 {
     for(int w : adj[v])
     {
        if(u == w)
        {
            return true;
        }
     }
    return false;
 }

void Graph::addEdge(int u, int v)
{
    adj[u].push_back(v); //undirected graph
    //adj[v].push_back(u);
}
void Graph::deleteSelfLoops(Graph g)
{
    for(int v = 0; v <= g.V; v++)
   {
        for(int w : g.adj[v])
        {
            if(v == w)
            {
                g,adj[v].remove(w);
            }
       }
    }
}
int Graph::degree(Graph g, int v)
{
     int deg = 0;
    for(int i = 0;i < g.adj[v].size();i++)
    {
        deg++;
    }   
    return deg;
}
int Graph::edgeCount(Graph g)
{
    int edge = 0;
    int i;
    if(g.adj[0].empty())
    {
         i = 1;
    }
    else
    {
        i = 0;
    }
    for(i; i <= g.V; i++)
    {
        edge = edge + degree(g,i);
    }
   return edge/2; //handshaking lemma
}
int Graph::maxDegree(Graph g)
{
    int max = 0;
    for(int i = 0; i <= g.V; i++)
    {
        if(degree(g,i) > max)
        {
            max = degree(g,i);
        }
    }
    return max;
 }
int Graph::minDegree(Graph g)
{
    int min = g.V;
    int i;
    if(g.adj[0].empty())
    {
        i = 1;
    }
    else
    {
        i = 0;
    }
    for(i; i <= g.V; i++)
    {
        if(degree(g,i) < min)
        {
            min = degree(g,i);
        }
    }
    return min;
}
int Graph::numberOfSelfLoops(Graph g)
{
    int count = 0;
    for(int v = 0; v <= g.V; v++)
    {
        for(int w : g.adj[v])
        {
            if(v == w)
            {
                count++;
            }
        }
    }
    return count / 2;
 }

int main()
{
    ifstream fin("AdjList.txt");
    int V = 0;
    string str;
    while(getline(fin, str)) 
    {
    istringstream ss(str);
    int num;
    while(ss >> num)
    {
        // ... you now get a number ...
        int u;
        u = str[0] - '0'; //char can be coverted to int
        if(num != u )
        {
             //cout<<u<< "  "<< num<<endl;
        }
    }
    V++;
}
fin.close();
Graph g1(V);
fin.open("AdjList.txt");
while(getline(fin, str)) 
{
    istringstream ss(str);
    int num;
    while(ss >> num)
    {
        // ... you now get a number ...
        int u;
        u = str[0] - '0'; //char can be coverted to int
        if(num != u )
        {
             g1.addEdge(u,num);
             //cout<<u<< "  "<< num<<endl;
            }
        }
    }
    fin.close();
    Graph g(V,g1.edgeCount(g1));
    g.adj = g1.adj;
    cout<<"degree of 1 is : "<<g.degree(g,1)<<endl;
    cout<<"Nember of vertices is :"<<g.V<<endl;
    cout<<"Numbe rof edges is : "<< g.edgeCount(g)<<endl;
    cout<<"Max degree is : "<<g.maxDegree(g)<<endl;
    cout<<"Min degree is : "<<g.minDegree(g)<<endl;
    cout<<"List of edges : .........."<<endl;
    cout<< g.edges[4].u;
    for(int i=0; i<=g.E+500;i++)
    {
        g.edges[i].u=0;
        g.edges[i].v =0;
    }
    g.DFS(g); 

    return 0;
 }

因为你用整数索引顶点,你可以做的简单技巧是添加边{v, u}当且仅当v <= u(如果没有自循环,那么v < u是足够的)。为此,只需更改:

if(!visited[*j])
{
    cout<<endl<<v<<" "<<*j<<endl;// print edges
    g.addEdgeList(g,v,*j);
    dfsUtil(g, *j, visited);
}

if(!visited[*j])
{
    cout<<endl<<v<<" "<<*j<<endl;// print edges
    if(v <= *j)
    {
        g.addEdgeList(g,v,*j);
    }
    dfsUtil(g, *j, visited);
}

因为我认为问题是在ischeckEdge。它将(0,0)作为边进行比较因为在输入中没有顶点'0'

bool Graph::ischeckEdge(Graph g, int u, int v)
{
    bool a = false;
    swap(u,v);
    for(int i=0;i<=e; i++)
    {
        if(i == 0)
        {
            continue;
        }
        if(i ==1 && g.edges[i].u ==0 && g.edges[i].v ==0)
        {
            return true;
        }
        if(g.edges[i].u == u && g.edges[i].v ==v )
        {
            //cout<<"Same Edge"<<endl;
            a= false;
            break;
        }
        else 
        {
            //cout<<"Edge count : "<<e<<endl;
            //cout<<"Iteration : "<<i<<endl;
            //cout<<"edge u v : "<<g.edges[i].u<<" "<<g.edges[i].v<<endl;
            //cout<<"input u v : "<<u<<" "<<v<<endl;
            a= true;
        }
    }
    return a;
}

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