左神基础班-图的生成、bfs、dfs

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匿名技术用户   2020-12-22 23:06   34   0

生成一张图的前期准备:

class Edge;
class Node{
public:
 int value;
 int in;
 int out;
 list<Node*> next;
 list<Edge*> edges;
 Node(int value){
  this->value = value;
  in = 0;
  out =0;
 }
};
class Edge{
public:
 int weight;
 Node* from;
 Node* to;

 Edge(int weight,Node* from, Node* to){
  this->weight = weight;
  this->from = from;
  this->to = to;
 }
};
class Graph{
public:
 unordered_map<int, Node*> nodes;
 unordered_set<Edge*> edges;

};

补:一般给图的样子是一个二维数组,长相在最下方的mian函数中有,有很多行,每行有三个元素,代表一条边。

第一个元素代表权值,第二个元素代表一条边的出边节点,第三个元素代表一条边的入边节点

生成一张图:

class GraphGenerator{
public:
 Graph createGraph(int matrix[][3],int rows, int col){
  Graph graph;
  for(int i=0;i<rows;i++){
   int weight = matrix[i][0];
   int from = matrix[i][1];
   int to = matrix[i][2];
   if(graph.nodes.find(from) == graph.nodes.end()){
    graph.nodes[from] = new Node(from);
   }
   if(graph.nodes.find(to) == graph.nodes.end()){
    graph.nodes[to] = new Node(to);
   }
   //以上两个if操作后,必能找到 from 好人to节点
   Node* fromNode = graph.nodes.find(from)->second;
   Node* toNode = graph.nodes.find(to)->second;
   //为 graph 和 from所在的node 准备 一条边
   Edge* newEdge = new Edge(weight, fromNode, toNode);
   //对于新增的一条边, 被指向节点的入度+1
   toNode->in++;
   //对于新增的一条边, 指向节点的出度+1,所指向的节点确定,指向该节点的边确定
   fromNode->out++;
   fromNode->next.push_back(toNode);
   fromNode->edges.push_back(newEdge);
   //两个if会保证建立节点,这里保证 边的存在。
   graph.edges.insert(newEdge);

  }
  return graph;
 }
};

bfs遍历算法:

void bfs(Node* node){
 if(node == nullptr)
  return ;
 queue<Node*> queue;
 unordered_set<Node*> set;
 Node* help;
 queue.push(node);
 set.insert(node);
 while(!queue.empty()){
  help = queue.front();
  queue.pop();
  cout << help->value<<endl;
  //用出队的当前节点来找进栈节点
  for(auto node: help->next){
   if(set.find(node) == set.end()){
    queue.push(node);
    set.insert(node);
   }
  }
 }
}

dfs遍历算法:

void dfs(Node* node){
 stack<Node*> stack;
 unordered_set<Node*> set;
 Node* help;
 //一进来就入栈并打印
 stack.push(node);
 set.insert(node);
 cout << node->value<<endl;
 while(!stack.empty()){
  help = stack.top();
  stack.pop();
  //对出栈的元素进行判断,若该节点的关联节点都被打印过了 或者该节点没其他关联接点,那么这个元素就ok了
  //若该节点还有其他关联节点没被访问,则直接访问后,再把弹出节点和访问节点都入栈
  for(auto node: help->next){
   if(set.find(node) == set.end()){
    cout << node->value<<endl;
    stack.push(help);
    stack.push(node);
    set.insert(node);
    break;
   }
  }
 }
}

总的:

#include<iostream>
#include<list>
#include<queue>
#include<stack>
#include<unordered_map>
#include<unordered_set>
using namespace std;
//解依赖
class Edge;
class Node{
public:
 int value;
 int in;
 int out;
 list<Node*> next;
 list<Edge*> edges;
 Node(int value){
  this->value = value;
  in = 0;
  out =0;
 }
};
class Edge{
public:
 int weight;
 Node* from;
 Node* to;

 Edge(int weight,Node* from, Node* to){
  this->weight = weight;
  this->from = from;
  this->to = to;
 }
};
class Graph{
public:
 unordered_map<int, Node*> nodes;
 unordered_set<Edge*> edges;

};
class GraphGenerator{
public:
 Graph createGraph(int matrix[][3],int rows, int col){
  Graph graph;
  for(int i=0;i<rows;i++){
   int weight = matrix[i][0];
   int from = matrix[i][1];
   int to = matrix[i][2];
   if(graph.nodes.find(from) == graph.nodes.end()){
    graph.nodes[from] = new Node(from);
   }
   if(graph.nodes.find(to) == graph.nodes.end()){
    graph.nodes[to] = new Node(to);
   }
   //以上两个if操作后,必能找到 from 好人to节点
   Node* fromNode = graph.nodes.find(from)->second;
   Node* toNode = graph.nodes.find(to)->second;
   //为 graph 和 from所在的node 准备 一条边
   Edge* newEdge = new Edge(weight, fromNode, toNode);
   //对于新增的一条边, 被指向节点的入度+1
   toNode->in++;
   //对于新增的一条边, 指向节点的出度+1,所指向的节点确定,指向该节点的边确定
   fromNode->out++;
   fromNode->next.push_back(toNode);
   fromNode->edges.push_back(newEdge);
   //两个if会保证建立节点,这里保证 边的存在。
   graph.edges.insert(newEdge);

  }
  return graph;
 }
};
void bfs(Node* node){
 if(node == nullptr)
  return ;
 queue<Node*> queue;
 unordered_set<Node*> set;
 Node* help;
 queue.push(node);
 set.insert(node);
 while(!queue.empty()){
  help = queue.front();
  queue.pop();
  cout << help->value<<endl;
  //用出队的当前节点来找进栈节点
  for(auto node: help->next){
   if(set.find(node) == set.end()){
    queue.push(node);
    set.insert(node);
   }
  }
 }
}
void dfs(Node* node){
 stack<Node*> stack;
 unordered_set<Node*> set;
 Node* help;
 //一进来就入栈并打印
 stack.push(node);
 set.insert(node);
 cout << node->value<<endl;
 while(!stack.empty()){
  help = stack.top();
  stack.pop();
  //对出栈的元素进行判断,若该节点的关联节点都被打印过了 或者该节点没其他关联接点,那么这个元素就ok了
  //若该节点还有其他关联节点没被访问,则直接访问后,再把弹出节点和访问节点都入栈
  for(auto node: help->next){
   if(set.find(node) == set.end()){
    cout << node->value<<endl;
    stack.push(help);
    stack.push(node);
    set.insert(node);
    break;
   }
  }
 }
}

int main(){
 GraphGenerator g;
 // int matrix[][3]= {{1,1,2},{2,2,3},{3,3,1}};
 int matrix[][3]={{0,1,2},{0,1,3},{0,1,4},{0,2,3},{0,2,7},{0,7,3},
    {0,3,5},{0,4,6}};
 int length = sizeof(matrix)/sizeof(matrix[0]);
 Graph graph = g.createGraph(matrix, length,3);
 //test for list
 // Node* node = graph.nodes.find(1)->second;
 // for(auto node : node->next){
 //  cout<< node->value<<endl;
 // }

 //生成的三个节点没问题
 // cout << graph.nodes.find(1)->second->value;
 // cout << graph.nodes.find(2)->second->value;
 // cout << graph.nodes.find(3)->second->value<<endl;

 // unordered_set<Edge*>::iterator ite = graph.edges.begin();
 // while(ite != graph.edges.end()){
 //  cout << "这条边的权重为 "<<(*ite)->weight <<endl;

 //  cout<< "from:" <<(*ite)->from->value << "to: "<<(*ite)->to->value<<endl; 
 //  ite++;
 // }
 Node* node = graph.nodes.find(1)->second;
 // bfs(node);
 dfs(node);
 return 0;
}

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