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Mathematics       Publication 2002   Billington, EJ and Quattrocchi, G (2002) The metamorphosis of lambda-fold K-3,K-3-designs into lambda-fold 6-cycle systems. Ars Combinatoria, 64 : 65-80. In this paper necessary and sufficient conditions are given for the metamorphosis of a lambda-fold K-3,K-3-design of order n into a lambda-fold 6-cycle system of order n, by retaining one 6-cycle subgraph from each copy of K-3,K-3, and then rearranging the set of all the remaining edges, three from each K-3,K-3, into further 6-cycles so that the result is a lambda-fold 6-cycle system.  Associate Professor Elizabeth Billington eSpace Record:   http://espace.library.uq.edu.au/view/UQ:61719     Keywords:   Mathematics   << Back to Publication List

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