An ink composition is disclosed which contains at least one novel dye (CU)n(SAU)m
that is capable of self-assembling under appropriate conditions to form supramolecular
structures. More than one novel dye (CU)n(SAU)m and/or at
least one non-colored self-assembling compound (SAU)p(X)q
may be incorporated in these supramolecular structures. Also disclosed is
an ink-jet printing process using these novel dyes, and an ink-jet printing apparatus
provided with an ink cartridge containing such a dye.