Abstract
For a surface
S
of sufficient complexity, Dehn twists act elliptically on the arc, curve, or relative arc graph of
S
. We show that composing a Dehn twist with a shift map results in a loxodromic isometry of the relative arc graph
A
(
S
,
p
)
for any surface
S
with an isolated puncture
p
admitting a shift map. Therefore, shift maps are not type-preserving.