  We investigate the wedge disclination effect on quantum tunneling of a
Corbino disk in gapped-graphene of inner $R_1$ and outer $R_2$ radii in the
presence of magnetic flux $\Phi_i$. We solve Dirac equation for different
regions and obtain the solutions of energy spectrum in terms of Hankel
functions. The asymptotic behaviors for large arguments allow us to determine
the transmission, Fano factor and conductance. We establish the case where the
crystal symmetry is modified locally by replacing a hexagon by pentagon,
square, heptagon or octagon. We show that the wedge disclination $n$ modifies
the amplitude of transmission oscillations. We find that the period of Fano
factor oscillations is of the Aharonov-Bohm type, which strongly depends on $n$
where intense peaks are observed. As another result, $n$ changes the minimum
and period of conductance oscillations of the Aharonov-Bohm type. We show that
$n$ minimizes the effect of resonance and decreases the amplitude of
conductance magnitude $\Delta G$
  oscillations.
