Uniform Parallel Generation of Combinatorial Structures ------------------------------------------------------- Michele Zito, Ida Pu and Alan Gibbons Department of Computer Science, University of Warwick We describe an RNC algorithm for the uniform generation of unlabelled undirected graphs with a specified number of nodes. The algorithm is archetypal in the sense that many other RNC algorithms for the uniform generation of other combinatorial structures are possible using the same framework. The framework is based upon a parallisation of a result of Dixon and Wilf and uses simple probabilistic analysis to convert the expected running time of a sequential algorithm into a worst case parallel running time.