  We investigate various properties of neutron star matter within an effective
chiral $SU(3)_L \times SU(3)_R$ model. The predictions of this model are
compared with a Walecka-type model. It is demonstrated that the importance of
hyperon degrees are strongly depending on the interaction used, even if the
equation of state near saturation density is nearly the same in both models.
While the Walecka-type model predicts a strange star core with strangeness
fraction $f_S \approx 4/3$, the chiral model allows only for $f_S \approx 1/3$
and predicts that $\Sigma^0$, $\Sigma^+$ and $\Xi^0$ will not exist in star, in
contrast to the Walecka-type model.
