non domain computers on network

We have a couple of users (visitors) that insist on using their personal
computers on our windows 2003 network. Politics - so don't ask - believe me
you don't want to know.
They of course can surf the Internet (DHCP) and get their personal email
through Outlook or on the web. Now of course they want to print to the
network printers.
Is there any security issue with them just being on the network? I don't
know of any virus' etc. that can be spread unless they access the server
which they cannot do. I have no control over antivirus or anti-malware on
these machines so it make me nervous.
We will supply them with computers for the duration of their visit but they
don't want to use them. And I don't want to support non-domain computers -
we have enough to do, so I would be happy to hear that they may be a
security problem with using these computers. They run under the local
administrator accounts on their machines I am sure. So if they have a virus
or tojan etc. could it cause problems on our domain and be spread since they
are on the LAN?

Thanks
Linda


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