Slang/abbreviation for city of Albuquerque, New Mexico, USA. The term, although specific origins are unknown, is thought to have lingered through generations of "Burqueños," (people from Albuquerque).
Very recently there has been a collective reaffirmation of this nickname in response to current Mayor Martin Chavez's announcement of a commercially-driven re-branding of Albuquerque as the "the Q." Many people feel as if this new nickname has nothing to do with Albuquerque, but with a gentrified version of the city that has been sanitized to be more palatable to outside investors. Nevertheless, new city buses and other city-run aspects of the community have adopted/been branded with this new catch-phrase.
The Frontier restaurant is classic Burque: old people on sundays, pop-punk teens at 11pm after their concert, cholos at any time of day, and when all the bar-going individuals somehow find their way up from downtown when the bars close.