On the characterization of Bluetooth scatternet topologies

Pravin Bhagwat, Srinivasa P. Rao
Bluetooth is an emerging short range, wireless networking standard. Using Bluetooth communication interfaces, a collection of devices can interconnect to form a scatternet. A set of n nodes can be organized into a scatternet in many different ways. This is in contrast to the classical narrowband packet radio networks or the wireless LAN systems where the topology of node interconnections is uniquely determined by the distances between the nodes. 

Understanding the topological structure of scatternets is an important first step towards the goal of building algorithms for self-organizing networks. Unfortunately, the space of all scatternet topologies is so large that it is computationally infeasible to search the space without proper understanding of its mathematical structure. In this paper we describe an efficient technique for enumerating all feasible Bluetooth scatternet topologies as well as several constrained subsets of  topologies. These results provide a stepping stone for the design of optimization algorithms for Bluetooth networks.
.

Paper (postscript)