Existence of almost resolvable directed \(7\)-cycle systems (Q812215)
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scientific article; zbMATH DE number 5006261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of almost resolvable directed \(7\)-cycle systems |
scientific article; zbMATH DE number 5006261 |
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Existence of almost resolvable directed \(7\)-cycle systems (English)
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13 February 2006
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A directed \(k\)-cycle system is called almost resolvable if the collection of the directed \(k\)-cycles can be partitioned into almost parallel classes. In the paper under review, the authors resolve the next open case \(k=7\) proving that the obvious necessary condition \(v \equiv 1 \pmod 7\) is also sufficient. There are details for the constructions involved.
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group divisible directed \(k\)-cycle systems
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0.8239313960075378
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0.8234764337539673
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