  Magnetic chains on superconducting systems have emerged as a platform for
realization of Majorana bound states (MBSs) in condensed matter systems with
possible applications to topological quantum computation. In this work we study
the MBSs formed in magnetic chains on two-dimensional honeycomb materials with
induced superconductivity. We establish phase diagrams showing the topological
regions (where MBSs appear), which are strongly dependent on the spiral angle
along the chain of the magnetic moments. In particular, find large regions
where the topological phase is robust even at large values of the local Zeeman
field, thus producing topological regions without an upper bound. Moreover, we
show that the energy oscillations of the MBSs can show very different behavior
with magnetic field strength. In some parameter regimes we find increasing
oscillations amplitudes and decreasing periods, while in the other regimes the
complete opposite behavior is found with increasing magnetic field strength. We
also find that the topological phase can become dependent on the chain length,
particularly in topological regions with a very high or no upper bound. In
these systems we see a very smooth evolution from MBSs localized at chain end
points to in-gap Andreev bound states spread over the full chain.
