Abstract
The connectivity theory studies networks formed by large numbers of nodes distributed according to some statistics over a limited or unlimited region of ℝd, with d=1,2,3, and aims at describing the potential set of links that can connect nodes to each other, subject to some constraints from the physical viewpoint (power budget or radio resource limitations). Connectivity depends on the number of nodes per unit area (nodes’ density) and on the transmit power. The choice of an appropriate transmit power level is an important aspect of network design as it affects network connectivity. In fact, with a high transmit power a large number of nodes are expected to be reached via direct links. On the other hand, a low transmit power would increase the possibility that a given node cannot reach any other node, that is, it is isolated.
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Notes
- 1.
Link reciprocity is assumed.
- 2.
In the sense that the two nodes can reliably communicate to each other.
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Buratti, C., Martalò, M., Verdone, R., Ferrari, G. (2011). Tree-Based Topologies for Multi-Sink Networks. In: Sensor Networks with IEEE 802.15.4 Systems. Signals and Communication Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17490-2_4
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