class Edge List c++

I'm trying to make the Edge List class on c++. When I compile the code, I get a lot of errors, but I can not understand, what do I wrong?

struct vertex
{
   double x,y;
};

class EdgeList
{
private:
    std::map<vertex, vector<vertex>> graph_container;
public:

    void add_vertex(const vertex& v) { //add a vertex to the map
        graph_container.insert(pair<vertex,vector<vertex> >(v, vector<vertex>()));
    }
    //*
    void add_edge(const vertex& v, const vertex& u) { //look up vertex in map 
            auto it = graph_container.find(v);
            if (it != graph_container.end())
                *it.push_back(u);

    }    
    //*/
 };