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COMBINATORICS
2004

Class-Uniformly Resolvable Group Divisible Structures II: Frames

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Class-Uniformly Resolvable Group Divisible Structures II: Frames
We consider Class-Uniformly Resolvable frames (CURFs), which are group divisible designs with partial resolution classes subject to the class-uniform condition. We derive the necessary conditions, including extremal bounds, build the foundation for general CURF constructions, including a frame variant of the blow-up construction from part I. We also establish a PBD-closure result. For CURFs with blocks of size two and three we determine the existence of CURFs of type gu, completely for g = 3, with a small list of exceptions for g = 6, asymptotically for g = 4, 5 and give some other infinite families.
Peter Danziger, Brett Stevens
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2004
Where COMBINATORICS
Authors Peter Danziger, Brett Stevens
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