On the existence and application of incomplete nearly Kirkman triple systems with a hole of size 6 or 12

DOI10.1016/S0012-365X(02)00469-7zbMath1012.05024OpenAlexW2030620609MaRDI QIDQ1861290

Dameng Deng, Hao Shen, R. S. Rees

Publication date: 16 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00469-7

zbMATH Keywords

subsystemsresolvabilitygroup-divisible designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Triple systems (05B07)

Related Items (13)

Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\) ⋮ Embeddings of resolvable group divisible designs with block size 3 ⋮ Group divisible designs with block size four and group type \(g^um^1\) for more small \(g\) ⋮ Existence of incomplete canonical Kirkman packing designs ⋮ On group-divisible designs with block size four and group-type \(6^{u} m^{1}\). ⋮ Existence of incomplete resolvable minimum coverings of pairs by triples. ⋮ Kirkman frames having hole type \(h^um^1\) for \(h\equiv\mathrm{mod}\,12\) ⋮ Group divisible designs with block size four and group type \(g^u m^1\) with minimum \(m\) ⋮ Existence of resolvable optimal strong partially balanced designs ⋮ Existence of \((v,K_{1(3)}\cup\{w^*\})\)-PBDs and its applications ⋮ On the existence of nearly Kirkman triple systems with subsystems ⋮ Existence of incomplete canonical Kirkman covering designs ⋮ On the Existence of Nearly Kirkman Triple Systems with Subsystems

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