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On the existence of a cyclic near-resolvable \((6n+4)\)-cycle system of \(2 K_{12n+9}\) - MaRDI portal

On the existence of a cyclic near-resolvable \((6n+4)\)-cycle system of \(2 K_{12n+9}\) (Q2299995)

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On the existence of a cyclic near-resolvable \((6n+4)\)-cycle system of \(2 K_{12n+9}\)
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    On the existence of a cyclic near-resolvable \((6n+4)\)-cycle system of \(2 K_{12n+9}\) (English)
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    24 February 2020
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    Summary: In this article, we prove the existence of a simple cyclic near-resolvable \(((v-1)/2)\)-cycle system of \(2 K_v\) for \(v\equiv 9\pmod{12}\) by the method of constructing its starter. Then, some new properties and results related to this construction are formulated.
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    \(k\)-cycle system
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    starter
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