  The light axigluon model can explain the Tevatron $t\overline{t}$
forward-backward asymmetry and at the same time satisfy the constraints from
the electroweak precision measurement and the $ATLAS$ and $CMS$ data, which
induces the flavor changing ($FC$) couplings of axigluon with the $SM$ and new
quarks. We investigate the effects of these $FC$ couplings on the s- and
t-channel single top productions at the $LHC$ and the $FC$ decays $Z\rightarrow
\overline{b}s+b\overline{s}$, $t\rightarrow c\gamma$ and $cg$. Our numerical
results show that the light axigluon can give significantly contributions to
single top production and the rare top decays $t\rightarrow c\gamma$ and $cg$.
