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Node degree is regarded as an important and convenient metric to measure the connectivity of wireless ad hoc networks. Existing studies are mainly based on the assumption that nodes are static and do not provide closed-form expressions for node degree. In this paper, we investigate three fundamental characteristics of a wireless ad hoc network: Its node degree distribution, its average node degree...
This paper derives analytical expressions for the probability of link availability and the node degree distribution in mobile ad hoc networks. The expressions (1) account for system parameters such as the node density, node transmission range, and the radio channel fading; and (2) hold for an arbitrary mobility model with initially uniformly distributed spatial nodes that are allowed to move only...
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