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25th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing
December 4-8, 2000
University of Canterbury
Christchurch, New Zealand

Organizers
Charles Semple, Mike Steel

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Metamorphosis of designs with block size four: a survey and the final case
by
Elizabeth J. Billington
The University of Queensland
Coauthors: Karen A. Dancer (The University of Queensland)

If G is a simple graph with subgraph G', a ``metamorphosis'' of a G-design of order n into a G'-design of order n is possible for certain n.

In the case when G is K4, all results to date will be surveyed, and a final case completed. This means that necessary and sufficient conditions are now known for the existence of a metamorphosis of a (lambda-fold) K4-design into a (lambda-fold) G'-design, for any subgraph G' of K4.

Date received: November 5, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafn-31.