The extent to which a wireless multi-hop network is connected is usually measured by the probability that all the nodes form a single connected component. We jind this measure, called connectivity, unsuitable for use with sparse networks since it is not indicative of the actual communication capability of the network, and can be unresponsive to changes in network parameters. An alternate connectivity measure that w e j n d useful in sparse networks is the fraction of node pairs in the network that are connected. We call this term reachability and claim that it is more intuitive and expressive than connectivity when dealing with sparse networks. We identify reachability as growing according to the logistic growth model and present a regression model for reachability in terms of number of nodes and normalized transmission range. This can be used by a network designer to estimate the tradeoff between how connected the network is, the number of nodes, the area of operation, and transmission range of nodes.

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Abstract-Several solutions exist to bridge the last-mile gap in rural telecom. These extend a point of presence from a town to kiosks in surrounding villages. In this paper, we deal with extending teleconnectivity from these kiosks to various points inside the village. Since laying additional PSTN lines is expensive, we use a single PSTN line connected to a software exchange, and VoIP calls are carried over Ethernet or WiFi. We use soft-phones on computing devices or analog phones with adapters to make or receive calls from different parts of the village. As proofof-concept, we deploy the proposed solution in a rural test-bed and report our experience.

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