Top panel: distance to the closest filament d_fil (in box size units) of the 8σ sparse skeleton for all EH massive galaxies as a function of their compactness. Bottom panel: density in the closest filament ρ_fil (obtained by DTFE from a mass-weighted Delaunay tessellation of the galaxy catalogue) of the 3σ dense skeleton for all EH massive galaxies as a function of their compactness. For UC galaxies, exclusion zones are clearly visible at small distance to the filaments and in the very low and very high density regions, as compared to the NUC.