A few more Kirkman squares and doubly near resolvable BIBDs with block size 3

DOI10.1016/j.disc.2007.04.001zbMath1134.05010OpenAlexW1970053635MaRDI QIDQ2469988

R. Julian R. Abel, Jin-Hua Wang, Esther R. Lamken

Publication date: 11 February 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.04.001

zbMATH Keywords

triple systemresolvable designKirkman squaredoubly resolvable design

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (17)

On generalized Howell designs with block size three ⋮ Semiframes with Block Size Three and Odd Group Size ⋮ The asymptotic existence of \(\mathrm{DR}(v,k,k-1)\)-BIBDs ⋮ Orthogonally Resolvable Cycle Decompositions ⋮ Frames and doubly resolvable group divisible designs with block size three and index two ⋮ Orthogonally resolvable matching designs ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ Egalitarian Steiner triple systems for data popularity ⋮ Doubly resolvable 4-cycle systems of \(2K_v\) ⋮ Doubly resolvable H designs ⋮ Optimal multiply constant-weight codes from generalized Howell designs ⋮ Designs with mutually orthogonal resolutions and decompositions of edge‐colored graphs ⋮ The asymptotic existence of frames with a pair of orthogonal frame resolutions ⋮ Kirkman triple systems with subsystems ⋮ Doubly Resolvable Nearly Kirkman Triple Systems ⋮ Doubly resolvable canonical Kirkman packing designs and its applications ⋮ Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\)

Cites Work

• Existence results for doubly near resolvable \((v,3,2)\)-BIBDs
• Existence results for \(KS_ 3(v;2,4)s\)
• The existence of Room squares
• A survey on resolvable group divisible designs with block size four.
• The existence of \(\text{KS}_3(v;2,4)\)
• The existence of Kirkman squares -- doubly resolvable \((v,3,1)\)-BIBDs
• The existence of doubly resolvable \((v,3,2)\)-BIBDs
• 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs
• Designs with mutually orthogonal resolutions and decompositions of edge‐colored graphs
• On Mutually Orthogonal Resolutions and Near-Resolutions
• The existence of doubly near resolvable (v,3,2)‐BIBDs
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