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Table 3.

Report of the compactness formulae and redshift ranges of sources presented in the literature.

Reference Redshift Formula Number of sources Mass complete
Damjanov et al. (2015) 0.24–0.66 (log(Re)+5.74)/log(M) < 0.568 4347 1664
Cassata et al. (2011) – compact 1.20–3.00 (log(Re)+5.5)/log(M) < 0.54 3139 1115
Barro et al. (2013) 1.40–3.00 log( 3083 1370
van der Wel et al. (2014) – compact 0.00–3.00 Re/(M/1011)0.75 < 2.5 kpc 1801 914
Charbonnier et al. (2017) 0.20–0.60 log(M) > 5 × 1010, Re < 2 kpc 1061 372
Spiniello et al. (2021) 0.10–0.50 log(M) > 6 × 1010, Re < 2 kpc 693 372
Buitrago et al. (2018) 0.02–0.30 log(M) > 8 × 1010, Re < 2 kpc 277 277
Cassata et al. (2011) – ultracompact 1.20–3.00 (log(Re)+5.8)/log(M) < 0.54 250 82
van der Wel et al. (2014) – ultracompact 0.00–3.00 Re/(M/1011)0.75 < 1.5 kpc 241 134
Trujillo et al. (2009) 0.00–0.20 log(M) > 8 × 1010, Re < 1.5 kpc 86 86

Notes. The number of UCMG candidates according to each criterion is given in the fourth column. The last column provides the sample size of UCMG candidates that meet the compactness criterion, and the mass completeness above log(Mstar/M)≥10.86 (Davidzon et al. 2016). Two works (Cassata et al. 2013; van der Wel et al. 2014) applied two different criteria, and we refer to them as a ‘compact’ and ‘ultracompact’ for less and more restrictive, respectively.

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