  The gravitational-wave signal GW170817 is a result of a binary neutron star
coalescence event. The observations of electromagnetic counterparts suggest
that the event didn't led to the prompt formation of a black-hole. In this
work, we first classify the GW170817 LIGO-Virgo data sample into prompt
collapse to a black-hole using the $q$-dependent threshold mass fits and then
remove these cases from the data sample. We find that the cases without a
prompt black-hole formation do not support radii $ <$ 10 km unlike the
LIGO-Virgo data sample. This is consistent with the maximum mass constraint,
based on the binary pulsar J0348+0432, imposed LIGO-Virgo data sample.
Additionally, we find that the cases without the prompt collapse to a
black-hole improve the uncertainty range of neutron star radii from 3.3 km to
2.6 km for the data sample without the mass constraint and from 2.8 km to 2.5
km for the data sample with the mass constraint, implying improved constraints
on the neutron star radii and hence the equation-of-state.
