this.parentNode.className = thisMenuName;
this.parentNode.onmouseout = toggleDivOff;
this.parentNode.onmouseover = toggleDivOn;
 
Once we've set the menu to display, we have to figure out how to hide it again. The secret to a pull-down menu is that you don't want it to close when you move the mouse off the triggering link; you want it to close when you move the mouse off the entire 
div. That is, if you're anywhere on the menu, you want it to stay open. Here, we assign a 
class to the parent of the current link (that's the 
div around the link), and then we assign 
onmouseover and 
onmouseout handlers to the 
div. These trigger 
toggleDivOn() and 
toggleDivOff(), which will handle the 
div from now on.
Here's the trick: if we got here, then by definition, the cursor is inside the 
div. And consequently, just setting the 
onmouseover causes 
toggleDivOn() to be immediately triggered.