Ariadne , in Greek mythology , was daughter of King Minos of Crete and his queen , PasiphaÃ `` , daughter of Helios , the Sun-titan . Ariadne ( , ; `` most holy '' , Cretan Greek Î Ï Î ( ari ) `` most '' and Î Î Î 1\/2 Î Ï ( adnos ) `` holy '' ) , in Greek mythology , was daughter of King Minos of Crete , and his queen PasiphaÃ `` , daughter of Helios , the Sun-titan .