Applets are not good technology to use for this purpose now as MS does not support it well for a few years already.
Try a Flash component called Origramy from here: http://origramy.com/.
It takes XML description of your fluxogram / organogram / graph or workflow and shows it in browser using Macromedia Flash... What is absolutely great about it is that you can draw your objects right in browser using same component as easy as you draw in Paint... It's editor supports arrows, boxes, circles, text in different fonts, even pics and a lot of other useful elements. You paint it in browser with their Flash editor first, save as XML and then show the result (XML file) as a picture in same component. Very cool thing, worth to try.
I used it to show some of our organizational charts and business logic of processes and like it a lot.