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Certain 3-decompositions of complete graphs, with an application to finite fields

Published online by Cambridge University Press:  14 November 2011

Peter Rowlinson
Peter Rowlinson
Affiliation:
Department of Mathematics, University of Stirling, Stirling FK9 4LA, Scotland
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Synopsis

A necessary condition is obtained for a complete graph to have a decomposition as the line-disjoint union of three isomorphic strongly regular subgraphs. The condition is used to determine the number of non-trivial solutions of the equation x3+y3 = z3 in a finite field of characteristic p ≡ 2 mod 3.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 3-4 , 1985 , pp. 277 - 281
Copyright
Copyright © Royal Society of Edinburgh 1985

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References

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