On the minimum node degree and connectivity of a wireless multihop network
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
The Critical Transmitting Range for Connectivity in Sparse Wireless Ad Hoc Networks
IEEE Transactions on Mobile Computing
The number of neighbors needed for connectivity of wireless networks
Wireless Networks
The Critical Transmitting Range for Connectivity in Mobile Ad Hoc Networks
IEEE Transactions on Mobile Computing
Impact of interferences on connectivity in ad hoc networks
IEEE/ACM Transactions on Networking (TON)
Connectivity Probability of Wireless Ad Hoc Networks: Definition, Evaluation, Comparison
Wireless Personal Communications: An International Journal
RETRACTED: Impacts of sensor node distributions on coverage in sensor networks
Journal of Parallel and Distributed Computing
Energy consumption monitoring for sensor nodes in SNAP
International Journal of Sensor Networks
Hi-index | 0.00 |
The relationship among connectivity probability, communication range and the number of nodes of an ad hoc network has been studied. A power law relationship of the form r = αN−β is hypothesised to hold for the communication range (r) and the number of nodes (N), with α and β being functions of the connectivity probability of the network. Unlike the different forms of log relationships derived for different network settings, this power law relationship will be shown to hold for both static and mobile ad hoc network of various settings using extensive simulation data. The comparison between the commonly known log law and our power law will be made using the published simulation data for stationary network and network with random waypoint model mobility. We further hypothesise that the power law relationship between the communication range and the number of nodes holds across different network models. We propose to simplify and unify the research of this connectivity probability problem by focusing on the effect of different network models on the parameters (α and β) of the power law model.