Had a center for 12 years.
When we had a biter (either because the parent told us they had bitten at home or because they bit at the center) we shadowed that child as much as possible. Meaning at least one caregiver stayed as close to that child as possible at all times. At least within arm's length.
If the child bit, a note was sent home. At NO time was it ever told to the biters mom who he/she bit or to the child bitten's mom who bit him/her.
Right after the bite, we gave as much attention as humanly possible to the bitten child while giving as little as possible to the biter.
We had all kinds of biters. One little girl seemed to bite just to see if she could make the other's cry. After much discussion with her mom, the child's older sister was doing the same thing to her. After the mother took care of the sister, it wasn't long before the biting stopped.
The thing that I always stressed to my caregivers/teachers and parents was that a biter is really no worse than a hitter. Many, many times its just the way the child communicates.
I did have one child that bit another to the point of breaking the skin. The doctor didn't put the child on oral antibiotics but a topical antibiotic. After a long talk with the employees that were present (something I did before the discussion with the parent), I discovered that the person in charge of the child had her attention elsewhere (not on a child) and didn't see him bite the other child. I didn't remove the child, but I did tell the employee that she would be removed if it happened again.
BTW, I also learned over the years that a biter will give off signals that they are about to bite (well, most do anyway).