Resolvable group divisible designs with large groups (Q727201)
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scientific article; zbMATH DE number 6661376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resolvable group divisible designs with large groups |
scientific article; zbMATH DE number 6661376 |
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Resolvable group divisible designs with large groups (English)
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6 December 2016
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Summary: We prove that the necessary divisibility conditions are sufficient for the existence of resolvable group divisible designs with a fixed number of sufficiently large groups. Our method combines an application of the Rees product construction with a streamlined recursion based on incomplete transversal designs. With similar techniques, we also obtain new results on decompositions of complete multipartite graphs into a prescribed graph.
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graph decomposition
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resolvability
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transversal design
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