Distributed networks consist of spatially dispersed identity of directed sensors to observe the normal condition. Top-k new approach such as expected position technique is used to get precise results in these Top-k results is exact possibility. The inter cluster processing are used in three algorithms. It is used sufficient-set based and necessary-set based, boundary based algorithm. For reducing transmission cost adaptive algorithm is used to give competent results in restricted round of communications. It gives transmit cost and not exceed two round of messages. Both two tier hierarchical and tree structured network topologies are wireless networks.