How to solve network sharing problem?

Hi friends,
I am trying to connect with my other computer by the remote desktop connection, from one of my laptops. The other computer’s operating system is Windows XP media center Edition and my laptop’s operating system is Windows Vista Home Basic edition. I can watch the shared files of the other computer by just typing "\(and the computer name)" into the address bar. So, I am sure that there must be some network between the 2 PC's. But when I type computer name on remote desktop connection, it does not work. I cannot diagnosis the problem. I need help to solve this it. Please anybody help me. Thank you.
