  The LHC is a top quark factory and provides a unique opportunity to look for
flavour changing neutral current or charged-lepton flavour violating
interactions of the top quark. These processes are highly suppressed in the
Standard Model and are beyond the experimental sensitivity, but can receive
enhanced contributions in many extensions of the Standard Model. Results of
searches for flavour changing neutral current $tqH$ vertex and charged-lepton
flavour violating $\mu\tau{}tq$ vertex are presented. The searches find good
agreement with the Standard Model expectation and derived exclusion bounds are
improved very significantly.
