On the existence of triangles in random key graphs
Makowski, Armand M.
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The random key graph, also known as the uniform random intersection graph, is a random graph induced by the random key predistribution scheme of Eschenauer and Gligor under the assumption of full visibility. We show the existence of a zero-one law for the appearance of triangles in random key graphs by applying the method of first and second moments to the number of triangles in the graph.