episciences.org_5706_1675649385
1675649385
episciences.org
raphael.tournoy+crossrefapi@ccsd.cnrs.fr
episciences.org
Discrete Mathematics & Theoretical Computer Science
13658050
03
16
2020
vol. 22 no. 1
Combinatorics
The 3way flower intersection problem for Steiner triple systems
H.
Amjadi
N.
Soltankhah
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(r1)/38, 2r(r1)/36, 2r(r1)/3}.
03
16
2020
5706
https://arxiv.org/licenses/nonexclusivedistrib/1.0
arXiv:1908.06679
10.48550/arXiv.1908.06679
https://arxiv.org/abs/1908.06679v1
10.23638/DMTCS2215
https://dmtcs.episciences.org/5706

https://dmtcs.episciences.org/6186/pdf

https://dmtcs.episciences.org/6186/pdf