HOLLYWOOD — HBO’s “Six Feet Under” will begin its fourth season June 13 at 9 p.m.Date marks a transition for the pay cabler as “Deadwood,” already renewed for season two, will close out its first season an hour later. A week prior, “The Sopranos” ends its penultimate season as well. “Six Feet Under,” which tallied 16 Emmy noms last year but took home only one, will have a 12-episode run. This season’s announced guest stars include Ellen DeGeneres and Mena Suvari. Returning directors include Miguel Arteta and Dan Attias.