  The production of jets, and high momentum hadrons from jets, produced in
deuteron ($d$)-$Au$ collisions at the relativistic heavy-ion collider (RHIC)
and proton ($p$)-$Pb$ collisions at the large hadron collider (LHC) are studied
as a function of centrality, a measure of the impact parameter of the
collision. A modified version of the event generator PYTHIA, widely used to
simulate $p$-$p$ collisions, is used in conjunction with a nuclear Monte-Carlo
event generator which simulates the locations of the nucleons within a large
nucleus. We demonstrate how events with a hard jet may be simulated, in such a
way that the parton distribution function of the projectile is frozen during
its interaction with the extended nucleus. Using our approach, we demonstrate
that the puzzling enhancement seen in peripheral events at RHIC and the LHC, as
well as the suppression seen in central events at the LHC are mainly due to
mis-binning of central and semi-central events, containing a jet, as peripheral
events. This occurs due to the suppression of soft particle production away
from the jet, caused by the depletion of energy available in a nucleon of the
deuteron (in $d$-$Au$ at RHIC) or in the proton (in $p$-$Pb$ at LHC), after the
production of a hard jet. We conclude that partonic correlations built out of
simple energy conservation are mostly responsible for such an effect.
