A wireless access point broadcasts a unique RF domain identifier for each supported service set per radio. Within a wireless local area network (“WLAN”) the RF domain identifier is unique for each supported service set, and hence identifies the service set. In addition to identifying the service sets supported by the access point, RF domain identifiers may be used to adjust transmit power in order to differentiate service sets. For example, if a first access point receives a beacon with an RF domain identifier transmitted by a second access point, the transmit power of communications associated with the service set associated with the received RF domain identifier is reduced at the first access point if that service set is also supported on the same radio by the first access point. In one embodiment the first and second access points both reduce transmit power until the beacons are no longer received by the respective nearby access point. The transmit power of communications associated with other service sets and other radios are not effected by the transmit power reduction, i.e., the access point may reduce transmit power of overlapping service set communications while contemporaneously transmitting communications of non-overlapping service sets at full power.