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What is the name of network topology in which there are bidirectional links between each possible nodes? 

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Three primary observations resulted: (a) links are most prevalent among vertices that join a network at a similar time; (b) the rate that new vertices join a network is a central factor in molding a network's topology; and (c) the emergence of network stars (high-degree vertices) is correlated with fast-growing networks.
Based on these amenities, our topology control algorithm is able of providing an “insight” of the graph structure of the network on top which control over information flow, message delivery, latency and energy dissipation among nodes can be easily deployed.
It allows the routing nodes, of a computer network or internet to maintain the correct view of the topology, even when link costs change or the topology changes due to failures or additions of nodes or links.
This means essentially that the issue of interconnectivity — in a broad sense the potential access to all relevant nodes in a network — is much more complicated than just the notion of physical distance friction: the quality and structure of an entire network is at stake here, so that one has to investigate the features of both nodes and their connecting links.
In other words, the case where the load of the links is considered to be the product of the betweenness centrality of the end nodes is favored for the robustness of the network against cascaded failures.

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