The following is a study of the problem of computer generation of non-isomorphic regular graphs of degree d on n points. The uork consists of a study of various properties and representations of regular graphs and a discussion of hov these might be useful in solving the isomorphism problem in the computer generation of regular graphs. An algorithm for the generation of regular graphs of degree 3 on n points with a Hamiltonian cycle is presented. The algorithm is not ideal in that it does not

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... erate distinct (ie. non-isomorphic) copies, and so a procedure for detecting graph isomorphism is used to process the list of graphs produced by the algorithm.