We address the problem of topology formation in Bluetooth Wireless
Personal Area Networks (BT-WPANs). The Bluetooth technology enables
short-range radio devices to communicate in the unlicensed 2.4 GHz ISM
band. The basic architectural unit in Bluetooth systems is the
piconet, composed of a master device and at most seven active slave
devices, which are allowed to communicate with the master only.
Overlapping piconets can be inter-connected through bridge nodes, thus
creating a larger network, the so-called scatternet.  We introduce two
procedures that are the key building blocks for a distributed
algorithm for the incremental construction of a BT-WPAN. We discuss
distributed procedures for the insertion and the removal of a node
in/from a BT-WPAN. Although these procedures may generate sub-optimal
solutions, they provide a network topology that fulfills the Bluetooth
specifications as well as the requirements that may exist on the
network connectivity, structure and throughput. Moreover, the proposed
procedures are easily implementable and able to compromise between the
system efficiency and its ability to promptly recover from topology
changes.