Definition: adj of, relating to, or being one for whom or which something is or is believed to be named. [yeah, just try parsing that definition]

Etymology: Greek epōnymos, from epōnymos eponymous, from epi- + onyma name

Quotation: “Not content to parody the homeless with his collection of hobo couture, John Galliano incensed journalists and Christians at his eponymous show in October.”
- from Inside Dope; Absolutely Fatuous in the New York Times (although it sounds like something straight out of Zoolander)

That definition above is an abomination of the English language. Based on the example, though, it should be easy enough to figure out that the thing which is eponymous is the show and not the person for whom it was named — an important distinction.