Two fundamental considerations in the design of a communications network are reliability and maximum transmission delay, which can be respectively measured by the connectivity and diameter of a graph representing the network. A d -connected digraph (directed graph) is constructed, which has a minimum number of edges and the diameter is at most one larger than the lower bound for any d and any number of nodes n > d 3 . It improves upon previous designs, which achieve maximum connectivity with a diameter twice as large as the lower bound.
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