I got an invite from a POI to attend an interview weekend and his graduate students are in charge of coordinating my visit. They asked me if there are other professors I'd like to meet with, since it's their job to have me meet as many people as possible. Of course, I'm first and foremost interested in the POI who invited me. I don't want to give the impression that I'm looking elsewhere (and I'm not really sure what I'd say to the other professors since I'm not trying to get into their labs) but, I also want to show interest in the department as a whole. On the other hand, I don't want to run into the problem of expressing interest in so many people that I am unable to prepare for each one. (This happened to me previously - 6 interviews with 6 potential POIs in 4 hours. Granted, that school does rotations so it was probably more acceptable.) Has anyone else faced a similar dilemma?