  In 1960 Nash-Williams proved that an edge-connectivity of $2k$ is sufficient
for a finite graph to have a $k$-arc-connected orientation. He then conjectured
that the same is true for infinite graphs. In 2016, Thomassen, using results he
proved on the lifting graph, proved that $8k$-edge-connected infinite graphs
admit a $k$-arc connected orientation. Here we improve this result for the
class of $1$-ended locally-finite graphs and show that an edge-connectivity of
$4k$ is enough in that case. To prove this we use results of the author of this
paper on the lifting graph.

Combinatorics