  We address Anderson localization in disordered honeycomb photonic lattices
and show that the localization process is strongly affected by the spectral
position of the input wavepacket within the first Brillouin zone of the
lattice. In spite of the fact that in regular lattice the expansion of the beam
is much stronger for the excitation near the Dirac points, where light exhibits
conical diffraction, than for the excitation at the center of the Brillouin
zone, where the beam exhibits normal diffraction, we found that disorder leads
to pronounced Anderson localization even around the Dirac points. We found that
for the same disorder level the width of the averaged output intensity
distribution for excitations around the Dirac points may be substantially
larger than that for excitations at the center of the Brillouin zone.
