Hamilton Cycles in Infinite Cubic Graphs

Max F. Pitz


Investigating a problem of B. Mohar, we show that every one-ended Hamiltonian cubic graph with end degree 3 contains a second Hamilton cycle. We also construct two examples showing that this result does not extend to give a third Hamilton cycle, nor that it extends to the two-ended case.


Uniquely Hamiltonian, Infinite Hamilton cycle, Cubic graph

Full Text: