Graph editor on Qt

I'm writing a graph editor now. The programs must be written on Qt, but the problem is that I don't have enough experience with Qt, but I'm little experienced with C++. Last weeks I read one book about Qt, but I've read about 100 pages, so I know only some basics.

Can somebody give me advices about what classes should I use, please?

What I've already done:

I filled menubar with menus File, Algorithms, About etc.
I suppose that graph vertexes etc I should draw on QGraphicsView, so I added it too, also I add QGraphicsScene and bind them together (ui->setScene(scene)).

Sorry for my mistakes, unfortunately I don't have a complete understanding about all these things.

Also I added QGraphicsRectItem with scene->addRect() and set the flag moveable. But I don't know what classes should I have to use.

So, in general I want to understand how to do next things:

I want to add a panel with 2 buttons (vertex, line). After I chose vertex button (or what it will be) and click on the QGraphicsView - vertex should appear at that point. Also I must be able to change vertex name
After I chose line mode (link, which connected 2 vertexes) I should be able to connect 2 vertexes together depending on graph type (oriented or not).
By clicking on link between vertexes I should be able to change the weight of link.

I think it would be enough for one question.

Sorry if the question is very simple or stupid.

Thanks.

Solution

Your question is rather broad so it's nearly impossible to answer it entirely. So instead, I'll offer a really good example you might go look at. This example does much of what you want and might be a good starting set of code to both look at as well as reuse.