  In this paper, we study the conductance of the graphene nanoribbons(GNRs) in
the presence of the Stone-Wales(S-W) reconstruction, using the transfer matrix
method. The ribbon is connected with semi-infinite quantum wires as the leads.
The S-W reconstruction occurs on the edges and the interfaces between the
electrodes and ribbon. When the reconstruction occurs on the edges, the
conductance is suppressed considerably if the gate voltage $V_g$ takes
intermediate values around $|V_{g}|\sim t_0$($t_0$ being the hopping amplitude
of grahene) in both positive and negative energy regions. In contrast, if $V_g$
is close to the Dirac point or the band edges, the conductance is relatively
insensitive to the edge reconstruction. The effect of edge reconstruction
become less important with increasing ribbon width as expected. The S-W
reconstruction occurs also possibly at the interfaces. In this case, the
reconstruction suppresses identically the conductance in the entire range of
$V_g$ for armchair GNRs. For the zigzag GNRs, the conductance is strongly
suppressed in the negative energy region however the change of the conductance
is relatively small in the positive energy region. We also analyze the
transmission coefficients as functions of the channel index(the transverse
momentum $k_y$ of the leads) for the neutral armchair GNRs with interface
defects. Interestingly, there are two transmission peaks appearing at
$k_{y}=\pi/3$ and $k_{y}=2\pi/3$ due to the unit cell doubling.
