Steiner triple systems intersecting in pairwise disjoint blocks
The electronic journal of combinatorics, Tome 11 (2004) no. 1
Two Steiner triple systems $(X,{\cal A})$ and $(X,{\cal B})$ are said to intersect in $m$ pairwise disjoint blocks if $|{\cal A}\cap{\cal B}|=m$ and all blocks in ${\cal A}\cap{\cal B}$ are pairwise disjoint. For each $v$, we completely determine the possible values of $m$ such that there exist two Steiner triple systems of order $v$ intersecting in $m$ pairwise disjoint blocks.
@article{10_37236_1780,
author = {Yeow Meng Chee},
title = {Steiner triple systems intersecting in pairwise disjoint blocks},
journal = {The electronic journal of combinatorics},
year = {2004},
volume = {11},
number = {1},
doi = {10.37236/1780},
zbl = {1056.05021},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1780/}
}
Yeow Meng Chee. Steiner triple systems intersecting in pairwise disjoint blocks. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1780
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