The brand has the word and in it like Frank & Oak. I feel it's easier and better to have a shorter domain.
Barnes & Noble uses BarnesAndNoble.com. But they also forward BarnesNoble.com (without the "and") to their website. Beyond that, they ALSO own Books.com / Book.com and forward that pair to the full brand name: BarnesAndNoble.com.
There may be cases when shaving off the "and" is justifiable. But it's dangerous to give specific advice when we've been given no specifics!
I'm lost. Should I go North or South? Well, that depends where you are and where you're trying to go.