Deep near-infrared $J$- and $K$-band photometry of three Local Group dwarf spheroidal galaxies: Fornax, Carina, Sculptor, is made available for the community. Until now, these data have only been used by Araucaria Project to determine distances using tip red giant RR Lyrae stars. Now, we present entire collection in a form database, consisting accurate magnitudes, sky coordinates, ellipticity m...

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An online Ramsey game (G,H) is a game between Builder and Painter, alternating in turns. During each turn, Builder draws an edge, and Painter colors it blue or red. Builder’s goal is to force Painter to create a monochromatic copy of G, while Painter’s goal is to prevent this. The only limitation for Builder is that after each of his moves, the resulting graph has to belong to the class of grap...