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IEEE Trans. Inf. Theory
Paper

On the Diameter of a Class of Random Graphs

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Abstract

The diameter of a class of random directed graphs in which the outdegree of each vertex is constrained to be exactly k is examined. Vertices connect themselves to k other distinct vertices with outwardly directed edges, all possible sets of k vertices being chosen with equal probability. It is shown that the diameter of such a random graph almost surely takes on only one of two values. © 1990 IEEE

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IEEE Trans. Inf. Theory

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