Pentagonal geometries with block sizes 3, 4, and 5

DOI10.1002/jcd.21768arXiv2006.15734OpenAlexW3119493888WikidataQ114236271 ScholiaQ114236271MaRDI QIDQ6145723

Anthony D. Forbes

Publication date: 2 February 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15734

zbMATH Keywords

group divisible designpentagonal geometry

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25)

Cites Work

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• Group divisible designs with block size four and group type \(g^um^1\)
• Some more 5-GDDs, 4-frames and 4-RGDDs
• Langford sequences: Perfect and hooked
• Group divisible designs with block-size four
• The nonexistence of certain generalized polygons
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• On Pentagonal Geometries with Block Size 3, 4 or 5
• Asymptotic results on the existence of 4‐RGDDs and uniform 5‐GDDs
• An Alternative Way to Generalize the Pentagon

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