I have this class:

class C
{
public:

    C* parent;
    std::list<C> children;
};

I can use this class in this way for example:

C root;
C child;

root.children.push_back(child); // or other method of std::list (es: push_front, insert, ...)

// Here child.parent is root
// How can I set the parent of child?

I want to do this work internally to my class without losing the functionality of std::list, is it possible?