The indicia reads "iZombie" as of #12 and although it is commonly written as I, Zombie; it was confirmed in the letter column of the twelfth issue (by Shelly herself) that the proper name is indeed iZombie.
This is an ongoing Vertigo series put together by Chris Roberson (Cinderella: From Fabletown with Love), Mike Allred (Madman, The Atomics, X-Statix), and Laura Allred.
The series is a horror and dark comedy hybrid that deals with the daily life of Gwen, a young woman who rises from the grave as a zombie, who maintains her memories, humanity and non-rotting appearance all well enough so long as she occasionally digs up a recent grave and eats somebody's brain.
Gwen and her best friends, a ghost and a were-terrier deal with life, love and boredom in a town filled with vampires and other supernatural monsters, as well as those who would hunt them down.
iZombie Omnibus (#1-28, partially of House of Mystery Halloween Annual #1-2)