The title, "Persepolis," means "Persian City" in Greek. The word is the Greek transliteration of the Old Persian word "Parsa" ("City of Persians"). Parsa, or Persepolis, was an actual ancient city that existed in Persia c. 550-330 BC. Its ruins still stand in southern Iran today.
In the graphic novel Persepolis 2, Marjane's father tells Marjane that he rented La Dolce Vita (1960). 'Marcello Mastroianni', father of 'Chiara Mastroianni' (Marjane), and former partner of 'Catherine Deneuve' (Marjane's mother), played a lead role in that film.