3-complementary frames and doubly near resolvable (v,3,2)-BIBDs

DOI10.1016/0012-365X(91)90059-BzbMath0722.05018MaRDI QIDQ2641307

Esther R. Lamken

Publication date: 1991

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

zbMATH Keywords

framesresolutiondoubly near resolvable twofold triple systems

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (20)

Constructions for generalized balanced tournament designs ⋮ The existence of doubly resolvable \((v,3,2)\)-BIBDs ⋮ The asymptotic existence of \(\mathrm{DR}(v,k,k-1)\)-BIBDs ⋮ Frames and doubly resolvable group divisible designs with block size three and index two ⋮ Decomposable super‐simple NRBIBDs with block size 4 and index 6 ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ A survey of Kirkman triple systems and related designs ⋮ On near generalized balanced tournament designs ⋮ Doubly resolvable 4-cycle systems of \(2K_v\) ⋮ A few more Kirkman squares and doubly near resolvable BIBDs with block size 3 ⋮ Existence results for doubly near resolvable \((v,3,2)\)-BIBDs ⋮ Designs with mutually orthogonal resolutions and decompositions of edge‐colored graphs ⋮ Existence results for generalized balanced tournament designs with block size 3 ⋮ The asymptotic existence of frames with a pair of orthogonal frame resolutions ⋮ The existence of 3 orthogonal partitioned incomplete Latin squares of type \(t^ n\) ⋮ The existence of \(\mathrm{FrGBTD}(4,g^u)\)s ⋮ Doubly Resolvable Nearly Kirkman Triple Systems ⋮ Near generalized balanced tournament designs with block sizes 4 and 5 ⋮ The existence of \(\text{KS}_3(v;2,4)\) ⋮ 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 \(KS_ 3(v;2,4)s\)
• Doubly resolvable designs
• On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays
• On the existence of frames
• More mutually orthogonal latin squares
• On resolvable balanced incomplete block designs
• The existence of Room squares
• Balanced incomplete block designs and related designs
• The existence of 3 orthogonal partitioned incomplete Latin squares of type \(t^ n\)
• On Mutually Orthogonal Resolutions and Near-Resolutions
• The existence of doubly near resolvable (v,3,2)‐BIBDs
• An Existence Theorem for Room Squares*
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