An ongoing communication with a mobile in a current cell of a wireless cellular system is handed over to another cell using information regarding a set of potential handover candidates. This information is transmitted from a base station in the current cell or from another fixed part transmitter in the system. The set of handover candidates for a given mobile in the current cell is determined based on stored adjacency information regarding the cells which are adjacent to the current cell. This adjacency information may be stored after an initial system configuration, based on the actual physical layout of the cells, and may be altered during system operation to reflect the success or failure of particular attempted handovers. The set of potential handover candidates may be in the form of a list of beacons associated with the cells adjacent to the current cell, and may include corresponding channel identifying information such as frequency and time slot. The potential handover candidate information may be transmitted upon receipt of a handover assistance request from the mobile, or may be periodically broadcast throughout the system.