Hamilton circles in Cayley graphs Babak

For locally finite infinite graphs the notion of Hamilton cycles can be extended to Hamilton circles, homeomorphic images of S1 in the Freudenthal compactification. In this paper we prove a sufficient condition for the existence of Hamilton circles in locally finite Cayley graphs. Mathematics Subject Classifications: 05C25, 05C45, 05C63, 20E06, 20F05, 37F20