Call it Lexington Barbecue, Lexington Number 1, or HoneyMonk's, this is one of the best barbecue joints in the state of North Carolina. You'll find two major styles of barbecue in North Carolina, and this is the best example of Lexington Style there is. Lexington Style uses a sweet but vinegary dipping sauce to season a slow cooked (over wood coaols) pork shoulder. It's fantastic.