Topology construction methods for a distributed mobile computing environment where the devices are heterogeneous, mobile, and use dynamic voltage scaling and variable transmission power control methods to efficiently use the overall system energy are developed in this research. The final goal of the research is to complete as many tasks as possible using the distributed mobile computing system. The tasks in this system are heterogeneous and must be completed by their deadline to have value. The tasks must be intelligently distributed among the devices to efficiently use the system resources. The reason for the new topology methods was that as the number of devices increase for the example environment the number of communications dropped because of communication collision increased. We propose two major ideas for topology algorithms to enhance the performance and compared it with the all-connected environment and the one that uses the MSMR method which showed improved performance over previous ones. Different methods proved to be better than MSMR in different scenarios for the distributed mobile computing environment.