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OUTLINE AND AMALGAMATED TRIPLE SYSTEMS OF EVEN INDEX

Published online by Cambridge University Press:  13 February 2002

MICHAEL N. FERENCAK  and
ANTHONY J. W. HILTON
MICHAEL N. FERENCAK
Affiliation:
Department of Mathematics, University of Pittsburgh at Johnstown, Johnstown PA 15904, USAferencak@pitt.edu
ANTHONY J. W. HILTON
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, Reading RG6 6AX a.j.w.hilton@reading.ac.uk
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Abstract

This paper proves that a triangulated graph is an outline triple system of even index if and only if it is an amalgamated triple system of even index.

2000 Mathematical Subject Classification: primary 05B07; secondary 05C99.

Keywords

amalgamated triple systemoutline triple systempartial triple system$(v,3,\lambda)$-design
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 84 , Issue 1 , March 2002 , pp. 1 - 34
Copyright
2002 London Mathematical Society

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