Merge pull request #667 from CO18326/patch-4

ElulerianGraph.cpp

Author: probot-auto-merge[bot]

C++/ElulerianGraph.cpp

@@ -0,0 +1,100 @@
+#include <iostream>
+#include <list>
+
+using namespace std;
+
+
+class Graph{
+
+private:
+	int num_vertices;
+    list<int> *adj;
+public:
+	Graph(int V);
+	bool is_Elulerian();
+	void DFS(int g,bool visited[]);
+	bool connected();
+	void add_edge(int x,int w);
+
+};
+
+Graph::Graph(int V){
+
+    this->num_vertices=V;
+    this->adj=new list<int>[V];
+}
+void Graph::DFS(int g,bool visited[]){
+
+       visited[g]=true;
+
+       list<int>::iterator i;
+       for (i=adj[g].begin();i!=adj[g].end();i++){
+       	     if ( visited[*i] != true){
+       	     	   DFS(*i,visited);
+       	     }
+       }
+
+}
+bool Graph::connected(){
+
+    bool visited[num_vertices];
+    for (int i=0;i<num_vertices;i++){
+    	visited[i]=false;
+    }
+    int k=0;
+    for (k=0;k<num_vertices;k++){
+    	if (adj[k].size()!=0){
+    		break;
+    	}
+    }
+    DFS(k,visited);
+     for (k=0;k<num_vertices;k++){
+    	if (adj[k].size()!=0){
+    		if (!visited[k]){
+    			return false;
+    		}
+    	}
+    }
+    return true;
+    
+
+}
+bool Graph::is_Elulerian(){
+
+
+    if (!connected()){
+    	return false;
+    } 
+     int odd=0;
+     for(int i=0;i<num_vertices;i++){
+     	if(adj[i].size() & 1){
+     		odd++;
+     	}
+     }
+     if (odd>2){
+
+     	return false;
+     }
+     return true;
+
+
+
+}
+
+void Graph::add_edge(int x,int w){
+
+   adj[x].push_back(w);
+   adj[w].push_back(x);
+
+}
+
+int main(){
+
+//checking purpose
+Graph g(2);
+g.add_edge(0,1);
+//return 1 if it is ElulerianGraph(fully or semi) and 0 if it is not
+cout<<g.is_Elulerian();
+
+
+}