This also happened to me over the last few months when my iMac was connected to an Airport Extreme via ethernet, with wifi turned off. There are no other units on the network with the same name; eventually my iMac name incremented to (name)8756. After much research on this and other support sites (and many attempts following sugestions, including rebuild) I found that removing the ethernet connection and using wifi only fully resolved the issue. My problem is that other macs connecting to the shared disk and printer on the iMac are now slower and I cannot sleep the iMac. When connected to the AE I used "wake up on ethernet request", which I believe caused the issue due to interactions between the iMac, router and the AE bonjour service. I can connect the disk directly to the AE, but I repeatedly read that Apple do not support Time Machine on AE shared disks - even though they work better and more reliably than the shared iMac disk.
iMac now on 10.7.4; AE on 7.6.1. I do not know precisly when the issue started. The issue is totally repeatable - just connect to the AE via ethernet, turn off wifi. I suspect a bug somewhere, any help would be appreciated as I like the previous speed and do like to sleep the iMac.