Kylie Jenner appeared on US chat show Ellen and denied splitting up with Tyga, claiming that "people have got it all wrong". Rumours spread that Kylie had broken up with Tyga because he cheated on her with a transgender. As far as we know, Kylie and Tyga are not back together.
However, Kylie addressed the rumours in a tweet, denying that she is back together with the father of her child. About kylie jenner nickname: kim, keeping up with these colors and has pleaded. For sure. But she later confirmed on her website that the two aren't engaged.