Top: background and completeness corrected N_GC as a function of absolute magnitude for the 23 UDGs (squares) and 186 traditional dwarf (non-UDGs) galaxies (circles) with N_GC > 0. The color bar indicates the value of the specific frequency S_N. The UDG MATLAS-2019 observed with HST (Müller et al. 2021) is shown with the star symbol. Bottom: same as top but now showing the specific frequency S_N in the plot and the background and completeness corrected N_GC in the color bar. The inset plot is with y-axis in log scale. In both plots, the 36 UDGs (black open circles) and 1344 non-UDGs (gray open circles) with a measured GALFIT effective radius and no GC candidate within 2R_e are shown. In total, 1380 out of the 1589 MATLAS dwarfs with a measured GALFIT effective radius have no GC candidate within 2R_e.