How do I have a class hold an array of itself by using STL containers/smart pointers?

So I essentially want to do this:

struct A {

    A *children[10];
};

However, when I do this and create a destructor such as:

 virtual ~A() {
        for (A *child: children) {
            delete child;
        }
    }

I get a segmentation fault and I'm not sure why. So how can I accomplish holding a list of A within A using an STL class so I don't have to worry about new/delete? I tried vector and get an "incomplete type" error.