Small embeddings for partial triple systems of odd index

Authors:
Darryn Bryant;Geoffrey Martin
Affiliations:
The University of Queensland, Department of Mathematics, Qld 4072, Australia;The University of Queensland, Department of Mathematics, Qld 4072, Australia
Venue:
Journal of Combinatorial Theory Series A
Year:
2012

Citing 3
Cited 0

Embedding partial triple systems

Journal of Combinatorial Theory Series A
The embedding of partial triple systems when 4 Divides &lgr;

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Embeddings of partial Steiner triple systems

Journal of Combinatorial Theory Series A

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Abstract

It has been conjectured that any partial triple system of order u and index @l can be embedded in a triple system of order v and index @l whenever v=2u+1, @l(v-1) is even and @l(v2)=0(mod3). This conjecture is known to hold for @l=1 and for all even @l=2. Here the conjecture is proven for all remaining values of @l when u=28.