On disjoint partial triple systems (Q2266717)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On disjoint partial triple systems |
scientific article |
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On disjoint partial triple systems (English)
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1984
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Two partial triple systems (PTS) are disjoint mutually balanced (DMB) if they have no blocks in common, and a 2-subset is contained in a block of one PTS iff it is contained in a block of the other. The authors construct all nonisomorphic DMB PTSs with each PTS containing exactly 9 blocks. There are exactly 12 such pairs; the number of elements involved is 9 in 7 cases, 10 in 4 cases, and 11 in the remaining case.
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disjoint mutually balanced partial triple systems
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DMB PTSs
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