You could pass the father graph to a public variable in the child. That would allow the child to invoke the father’s action. There might be a more elegant way to do that.

ChildGraph child = PXGraph.CreateInstance<ChildGraph>();
child.myFather = this;
child.myFather.fatherAction();

We're developers. We can talk about what we want to do, but if we're going to solve a problem, we either need code or screenshots

ChildGraph child = PXGraph.CreateInstance<ChildGraph>();
child.myFather = this;
child.myFather.fatherAction();

Thanks 

but I reviewed there isn’t not exist property myFather

As Daryl mentioned, we’re going to need more information about what you’re attempting to do. What screens and graphs are you working with?

I want call method in the father 

the method would do the following: base.Base.Activities.View.RequestRefresh();