Existence of \((v,K_{1(3)}\cup\{w^*\})\)-PBDs and its applications

DOI10.1007/s10623-007-9122-1zbMath1179.05017OpenAlexW2067443562MaRDI QIDQ1008959

Hao Shen, Jin-Hua Wang

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9122-1

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Triple systems (05B07) General block designs in finite geometry (51E05)

Related Items (15)

Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet ⋮ Group divisible designs with block size four and type \(g^ub^1 (gu/2)^1\) ⋮ Group divisible designs with block size four and group type \(g^um^1\) for more small \(g\) ⋮ Existence of incomplete canonical Kirkman packing designs ⋮ Some new group divisible designs with block size 4 and two or three group sizes ⋮ Sensitivity analysis of merit function in solving nonlinear equations by optimization ⋮ Explicit solutions of wall jet flow subject to a convective boundary condition ⋮ Spectrum of sizes for perfect 2-deletion-correcting codes of length 4 ⋮ A spectral relaxation method for thermal dispersion and radiation effects in a nanofluid flow ⋮ Doyen-Wilson theorem for perfect hexagon triple systems ⋮ Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures ⋮ Group divisible designs with block size four and group type \(g^um^{1}\) where \(g\) is a multiple of 8 ⋮ Group divisible designs with block sizes from \(K_{1(3)}\) and Kirkman frames of type \(h^u m^1\) ⋮ Existence of 4-GDDs with at most 50 points and 4-GDDs of types \(6^s3^t\) and \(9^s3^t\) ⋮ Perfect dexagon triple systems with given subsystems

Cites Work

• On group-divisible designs with block size four and group-type \(g^u m^1\)
• Resolvable group divisible designs with block size 3
• On combinatorial designs with subdesigns
• Kirkman frames having hole type \(h^u m^1\) for small \(h\)
• The spectrum of nested Steiner triple systems
• Group divisible designs with block-size four
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Further results on nearly Kirkman triple systems with subsystems
• Mandatory representation designs MRD(\(\{4,k\};v\)) with \(k\equiv 1 \mod 3\)
• On group-divisible designs with block size four and group-type \(6^{u} m^{1}\).
• Existence of resolvable group divisible designs with block size four. I
• On the existence and application of incomplete nearly Kirkman triple systems with a hole of size 6 or 12
• Embeddings of almost resolvable triple systems
• Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\)
• Equitable embeddings of Steiner triple systems
• On the covering of pairs by quadruples. II
• Frames with Block Size Four
• Doyen–Wilson theorem for nested Steiner triple systems
• The spectrum of nested group divisible designs of typetⁿ
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