  The multiplicity dependence of electron production from heavy-flavour hadron
decays as a function of transverse momentum was measured in p-Pb collisions at
$\sqrt{s_{\rm NN}}$ = 5.02 TeV using the ALICE detector at the LHC. The
measurement was performed in the centre-of-mass rapidity interval $-1.07 <
y_{\rm cms} < 0.14$ and transverse momentum interval 2 $< p_{\rm T} <$ 16
GeV/$c$. The multiplicity dependence of the production of electrons from
heavy-flavour hadron decays was studied by comparing the $p_{\rm T}$ spectra
measured for different multiplicity classes with those measured in pp
collisions ($Q_{\rm pPb}$) and in peripheral p-Pb collisions ($Q_{\rm CP}$).
The $Q_{\rm pPb}$ results obtained are consistent with unity within
uncertainties in the measured $p_{\rm T}$ interval and event classes. This
indicates that heavy-flavour decay electron production is consistent with
binary scaling and independent of the geometry of the collision system.
Additionally, the results suggest that cold nuclear matter effects are
negligible within uncertainties, in the production of heavy-flavour decay
electrons at midrapidity in p-Pb collisions.
