Installing network printer on notebook

I'm trying to add a network printer on my notebook that's running Vista Home
Premium.
The printer is connected to my desktop with Vista Ultimate. It's a HP
Laserjet 1012 (USB).
When I run the wizard to find a network printer, it takes a long time and
finally it says that no printers were found.
I also tried to add a local printer, and connect it to a local port with the
address \\desktop\laserjet1012
(assuming that my Vista desktop pc is named "desktop", and my shared printer
"laserjet1012".
As soon as I do that, Windows says: No access.
This last option is advised when the printer is physically connected to a
Windows XP computer. In my case, both pc's have Windows Vista. But I can't
get it working.

How can I install the network printer?

Wouter.