The frequency and damping time of f-mode oscillations as well as the tidal deformability and stellar radii of canonical neutron stars are studied using a large number of nucleonic Equation of State (EOS) for normal neutron stars consisting of npeμ matter and the MIT bag model for quark stars. Except for quark stars, EOS-independent universal relations among the f-mode characteristics, the tidal deformability and stellar radii of canonical neutron stars are revealed. Applying the tidal deformability (Λ_(1.4) = 190~(+390)_(-120)) extracted by the LIGO+VIRGO Collaborations from their improved analyses of the GW170817 event to the universal relations, tight constrains on the characteristics of f-mode oscillations are obtained.
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