Integral flux ULs of the single telescope observations (point-like ULs, upper arrows; Aleksić et al. 2010a) and of this work (solid arrows; Table 1) are shown. We compare ULs with the simulated integrated spectra of the gamma-ray emission from decaying neutral pions that result from hadronic CR interactions with the ICM in the Perseus cluster coming from within a radius of 0.15° around the center. The conservative model without galaxies (solid line) is shown together with the model with galaxies (dotted line). The flux UL at 1 TeV is a factor of 1.25 below the conservative model and hence constrains a combination of CR shock acceleration efficiency and CR transport processes. We also show the minimum gamma-ray flux estimates for the hadronic model of the Perseus radio mini-halo (dashed line with minimum flux arrows) using the universal gamma-ray spectrum resulting from pion decay (Pinzke & Pfrommer 2010) and adopting the spectral index, 2.2, of this spectrum around TeV energies.