Yagan, OsmanMakowski, Armand M.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.en-USWireless sensor networksZero-one lawsKey predistributionRandom key graphsGraph containmentExistence of trianglesArticle