Hamilton Cycles in Infinite Cubic Graphs

Max F. Pitz

Abstract


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.

Keywords


Uniquely Hamiltonian, Infinite Hamilton cycle, Cubic graph

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