5 p.m. on CNBC, ‘‘Dog Show’’ — Airing over two nights on two channels, the 137th Westminster Kennel Club Dog Show brings the country’s top dogs to Madison Square Garden in New York. Tonight, the hound, toy, non-sporting and herding groups compete, then the action moves to USA Network on Tuesday for the sporting, working and terrier group judging and the crowning of the Best in Show winner. David Frei and Mary Carillo host the proceedings.
8 p.m. on (CW), ‘‘The Carrie Diaries’’ — An old friend invites Carrie (AnnaSophia Robb) to a dinner party his mother is hosting, but her feelings for Sebastian (Austin Butler) get in the way until she makes an unhappy discovery. Mouse (Ellen Wong) seeks sex advice from Walt (Brendan Dooling) as she looks forward to getting back together with Seth (Kyle Harris). Tom (Matt Letscher) takes the loss of his wedding ring as a sign in the new episode ‘‘Dangerous Territory.’’
8:31 p.m. on 6, ‘‘Rules of Engagement’’ — Audrey and Jeff (Megyn Price, Patrick Warburton) ask Russell (David Spade) for the names of all the women he’s slept with. No, they’re not being nosy. They just want to be sure they don’t give their baby one of those names. Adam (Oliver Hudson) has a humiliating experience after spending big bucks on a bicycle in the new episode ‘‘Taking Names.’’ Bianca Kajlich and Adhir Kalyan also star.
9 p.m. on TNT, ‘‘Dallas’’ — Ewing versus Barnes — gee, where have we seen that before? J.R.’s (Larry Hagman) efforts to undermine Pamela (Julie Gonzalo) put John Ross (Josh Henderson) in the middle. Cliff Barnes (Ken Kercheval) returns for a meeting with an unlikely visitor. Christopher (Jesse Metcalfe) pulls out all the stops to keep a deal alive and save Ewing Energies in the new episode ‘‘False Confessions.’’
10 p.m. on TNT, ‘‘Monday Mornings’’ — Sung, Hooten and Villanueva (Keong Sim, Alfred Molina, Ving Rhames) try to talk a 13-year-old patient (Cozi Zuehlsdorff) with an advanced brain-stem glioma into having surgery. Ty (Jamie Bamber) leans on Ridgeway (Jennifer Finnigan) for support after losing a patient. Buck (Bill Irwin) tries to intimidate Robideux (Emily Swallow) into pronouncing a patient brain dead in the new episode ‘‘Deus Ex Machina.’’