I've come across this link, where the author states: "Hamilton Cycle Theorem fails for infinite graphs unless ..."
Please help me on this, what does he mean by "Hamilton Cycle Theorem"? I studied a whole chapter on hamilton cycles, have seen some necessary and sufficient conditions due to Ore, Dirac, Chvatal, Bondy, etc. but none of them titled or referred as "Hamilton Cycle Theorem"! What theorem does the author of the link examine?!
FYI, I've studied the popular book for undergraduates on Graph Theory by Bondy and Murty.