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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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Balanced t-foil decomposition of complete graphs
by
Hideaki Fujimoto
Kinki University
Coauthors: Kazuhiko Ushio (Kinki University)

Let t (t >= 2) and n be positive integers. We show that the necessary and sufficient condition for the existence of a balanced t-foil decomposition of the complete graph Kn is n \equiv 1 (mod 6t).

Date received: August 9, 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-04.