  Critical scaling and universality in short-time dynamics for spin models on a
two-dimensional triangular lattice are investigated by using Monte Carlo
simulation. Emphasis is placed on the dynamic evolution from fully ordered
initialstates to show that universal scaling exists already in the short-time
regime in form of power-law behavior of the magnetization and Binder cumulant.
The results measured for the dynamic and static critical exponents, $\theta$,
$z$, $\beta$ and $\nu$, confirm explicitly that the Potts models on the
triangular lattice and square lattice belong to the same universality class.
Our critical scaling analysis strongly suggests that the simulation for the
dynamic relaxation can be used to determine numerically the universality.
