Geodesic
The 3-way flower intersection problem for Steiner triple systems
Discrete mathematics & theoretical computer science, Tome 22 (2020-2021) no. 1.

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The flower at a point x in a Steiner triple system (X; B) is the set of all triples containing x. Denote by J3F(r) the set of all integers k such that there exists a collection of three STS(2r+1) mutually intersecting in the same set of k + r triples, r of them being the triples of a common flower. In this article we determine the set J3F(r) for any positive integer r = 0, 1 (mod 3) (only some cases are left undecided for r = 6, 7, 9, 24), and establish that J3F(r) = I3F(r) for r = 0, 1 (mod 3) where I3F(r) = {0, 1,..., 2r(r-1)/3-8, 2r(r-1)/3-6, 2r(r-1)/3}.
DOI : 10.23638/DMTCS-22-1-5
Classification : 05B07 
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     title = {The 3-way flower intersection problem for {Steiner} triple systems},
     journal = {Discrete mathematics & theoretical computer science},
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Amjadi, H.; Soltankhah, N. The 3-way flower intersection problem for Steiner triple systems. Discrete mathematics & theoretical computer science, Tome 22 (2020-2021) no. 1. doi : 10.23638/DMTCS-22-1-5. http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-22-1-5/

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