Bicyclic directed triple systems (Q2713619)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bicyclic directed triple systems |
scientific article |
Statements
10 June 2001
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directed triple system
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automorphism
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Bicyclic directed triple systems (English)
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The paper is about directed triple systems \(\text{DTS}(v)\) which admit an automorphism with cycles of lengths \(N \leq M\), \(N+M = v\). It is proved that for \(N = M\) necessary and sufficient conditions for the existence of such a directed triple system can be expressed by \(v \equiv 4 \pmod 6\), while for \(N<M\) by \(n \equiv 1,4,7 \pmod{12}\) and for \(M = kN\), by \(k \equiv 2 \pmod 3\).
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0.9102025032043456
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0.8483936190605164
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