While trying to explain Flux to a friend using words, I realized that a diagram's worth a thousand of them, and went with this.
+---------------------+
| |
| Dispatcher |
+-->| +---------------+
| +----------|----------+ |
register | | | dispatch
| | |
+------+---------+ | +---------+-----+
| | | | |
| Store | <--+ | Actions |
| | | |
+------+---------+ +---------------+
| ^
update | +----------------+ | call
| | | |
+----> | Component +------+
| |
+----------------+
A minimalistic, raw implementation is available as an example on JSbin.