I'd like to develop a network graph application for Flex - imagine placing nodes on a Canvas and connecting them with links. The nodes should have editable text and other UI components.
I'm trying to find examples of creating an entirely new UI component from scratch, but all I've been able to find are trivial examples that extend existing components: a RedButton that extends Button, for example, or a ComboBox that has states to choose from.
My main question is, what ActionScript method defines the drawing of a component? What is the ActionScript equivalent of Java's paint() method?