Publication

IEEE Trans. Inf. Theory

Paper

# On the Diameter of a Class of Random Graphs

## 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