what is your problem.... ? if you don't use a switch then don't use one...
the rest is wonderful and I mean wonderful explained at ltsp.org
TFTP Server, DHCP and the rest that has been mentioned there.
Infact that you want to boot trough the internet I wonder which bandwidth you've got...
Nothing is impossible but you'll have to configure a lot regarding hosts cause if the clients have no fixed ip thats what I guess, they must be recognized in a way for the ltsp that it can recognize it but I yet don't know how.
Must be something like that:
http://dragonwall.net/xdeep-putty.html