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At ~50 Mpc, the Hydra I cluster of galaxies is among the closest cluster inthe z=0 Universe, and an ideal environment to study dwarf galaxy properties ina cluster environment. We exploit deep imaging data of the Hydra I cluster toconstruct a new photometric catalog of dwarf galaxies in the cluster core,which is then used to derive properties of the Hydra I cluster dwarf galaxiespopulation as well as to compare with other clusters. Moreover, we investigatethe dependency of dwarf galaxy properties on their surrounding environment. Thenew Hydra I dwarf catalog contains 317 galaxies with luminosity between-18.5<$M_r$<-11.5 mag, a semi-major axis larger than ~200 pc (a=0.84 arcsec),of which 202 are new detections, previously unknown dwarf galaxies in the HydraI central region. We estimate that our detection efficiency reaches 50% at thelimiting magnitude $M_r$=-11.5 mag, and at the mean effective surfacebrightness $\overline{\mu}_{e,r}$=26.5 mag/$arcsec^2$. We present the standardscaling relations for dwarf galaxies and compare them with other nearbyclusters. We find that there are no observational differences for dwarfsscaling relations in clusters of different sizes. We study the spatialdistribution of galaxies, finding evidence for the presence of substructureswithin half the virial radius. We also find that mid- and high-luminositydwarfs ($M_r$<-14.5 mag) become on average redder toward the cluster center,and that they have a mild increase in $R_e$ with increasing clustercentricdistance, similar to what is observed for the Fornax cluster. No clearclustercentric trends are reported with surface brightness and S\'ersic index.Considering galaxies in the same magnitude-bins, we find that for high andmid-luminosity dwarfs ($M_r$<-13.5 mag) the g-r color is redder for thebrighter surface brightness and higher S\'ersic n index objects.

Galaxy populations in the Hydra I cluster from the VEGAS survey I. Optical properties of a large sample of dwarf galaxies