  We present a catalogue of low surface brightness (LSB) galaxies in the Coma
cluster obtained from deep Subaru/Suprime-Cam V and R-band imaging data within
a region of $\sim$4 deg$^2$. We increase the number of LSB galaxies presented
in Yagi et al. (2016) by a factor of $\sim$3 and report the discovery of 29 new
ultra-diffuse galaxies (UDGs). We compile the largest sample of ultra-diffuse
galaxies with colours and structural parameters in the Coma cluster. While most
UDGs lie along the red-sequence relation of the colour-magnitude diagram,
$\sim$5per cent are outside (bluer or redder) the red-sequence region of Coma
cluster galaxies. Our analyses show that there is no special distinction in the
basic photometric parameters between UDGs and other LSB galaxies. We
investigate the clustercentric colour distribution and find a remarkable
transition at a projected radius of $\sim$0.6 Mpc. Within this cluster core
region, LSB galaxies are, on average, redder than co-spatial higher surface
brightness galaxies, highlighting how vulnerable LSB galaxies are to the
physical processes at play in the dense central region of the cluster. The
position of the transition radius agrees with expectations from recent
cosmological simulation of massive galaxy clusters within which ancient infalls
are predicted to dominate the LSB galaxy population.
