Constant and nearly constant block-sum partially balanced incomplete block designs and magic rectangles

DOI10.1007/s42519-022-00307-2zbMath1517.05031OpenAlexW4309768018MaRDI QIDQ6100196

Ravindra Khattree

Publication date: 22 June 2023

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42519-022-00307-2

zbMATH Keywords

partially balanced incomplete block designsmagic rectanglesmagic rectangle setsconstant block-sum designsequireplicated block designsnearly constant block-sum designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

• Unnamed Item
• Some results on the existence or nonexistence of constant block-sum triangular and other related designs
• Handicap distance antimagic graphs and incomplete tournaments
• On construction of constant block-sum partially balanced incomplete block designs
• A note on the nonexistence of the constant block-sum balanced incomplete block designs
• The Parshvanath yantram yields a constant-sum partially balanced incomplete block design
• On construction of equireplicated constant block-sum designs
• Nearly magic rectangles
• Quasimagic rectangles

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