Excluding cheesefests which I dont keep track of the head to head matchups I can think of between Kwan and Slutskaya: 1994 Junior Worlds- Kwan 1995 Worlds- Kwan 1995 Skate America- Kwan 1996 Centennial on Ice- Slutskaya 1996 Grand Prix final- Kwan 1996 Worlds- Kwan 1997 Grand Prix final- Kwan 1997 Worlds- Kwan 1998 Olympics- Kwan 1998 Worlds- Kwan 1998 Goodwill Games- Kwan 2000 Grand Prix final- Slutskaya 2000 Worlds- Kwan 2000 Skate Canada- Slutskaya 2001 Grand Prix final- Slutskaya 2001 Worlds- Kwan 2001 Goodwill Games- Slutskaya 2001 Skate Canada- Slutskaya 01-02 Grand Prix final- Slutskaya 2002 Olympics- Slutskaya 2002 Worlds- Slutskaya 2004 Worlds- Kwan 2005 Worlds- Slutskaya I am sure I am forgetting something along the way but based on the non cheesefests I remember it would be 13-10 Kwan. I would say that is definitely a rivalry. Especialy since Irina in fact won most of their meetings from 2000 onwards when she became a gold threat which is how she overcame an early 10-1 deficit to make it close in the end. If Irina had won the 2006 Olympics and 2006 Worlds there would be a real argument for Irina being the most successful skater of this era over Kwan (I didnt say neccessarily the best which can be different than the most successful of course, and I for one much prefer Kwan's skating to Irina's). If she had even won 1 of the 2000 or 2001 Worlds she was favored to it would even be very close between the two overall.