Connectivity in Secure Wireless Sensor Networks under Transmission Constraints
This work addresses connectivity issues for secure wireless sensor networks in real-world implementations, but it is incremental as it extends existing analysis to include transmission constraints.
The paper tackles the problem of connectivity in secure wireless sensor networks under physical transmission constraints, presenting zero-one laws that specify critical transmission ranges for connectivity, with analytical findings confirmed by numerical experiments.
In wireless sensor networks (WSNs), the Eschenauer-Gligor (EG) key pre-distribution scheme is a widely recognized way to secure communications. Although connectivity properties of secure WSNs with the EG scheme have been extensively investigated, few results address physical transmission constraints. These constraints reflect real-world implementations of WSNs in which two sensors have to be within a certain distance from each other to communicate. In this paper, we present zero-one laws for connectivity in WSNs employing the EG scheme under transmission constraints. These laws help specify the critical transmission ranges for connectivity. Our analytical findings are confirmed via numerical experiments. In addition to secure WSNs, our theoretical results are also applied to frequency hopping in wireless networks.