Two new direct product‐type constructions for resolvable group‐divisible designs
From MaRDI portal
Publication:4764683
DOI10.1002/jcd.3180010104zbMath0817.05008OpenAlexW2065441131MaRDI QIDQ4764683
Publication date: 11 July 1995
Published in: Journal of Combinatorial Designs (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/jcd.3180010104
spectrumdecompositionsresolvable designsresolvable group-divisible designsone-factorstriangle-factors
Related Items (54)
Some more uniformly resolvable designs with block sizes 2 and 4 ⋮ Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\) ⋮ Unnamed Item ⋮ Partial Steiner triple systems with equal-sized holes ⋮ On uniformly resolvable designs with block sizes 3 and 4 ⋮ Embeddings of resolvable group divisible designs with block size 3 ⋮ On the existence of (3,λ)-semiframes of type 3u ⋮ Semiframes with Block Size Three and Odd Group Size ⋮ Small group-divisible designs with block size four ⋮ Non-isomorphic solutions of group divisible designs with \(k=3\) and \(\lambda_ 1=0\) ⋮ On the existence of resolvable \((K_{3} + e)\)-group divisible designs ⋮ A note on the Hamilton-Waterloo problem with \(C_8\)-factors and \(C_m\)-factors ⋮ Unnamed Item ⋮ Combinational constructions of splitting authentication codes with perfect secrecy ⋮ The spectrum of resolvable Bose triple systems ⋮ Almost resolvable maximum packings of complete graphs with 5-cycles ⋮ On the existence of k $k$‐cycle semiframes for even k $k$ ⋮ Resolvable group divisible designs with block size four and group size six ⋮ Uniformly resolvable designs with block sizes 3 and 4 ⋮ Uniformly resolvable cycle decompositions with four different factors ⋮ Some progress on optimal 2-D \((n\times m,3,2,1) \)-optical orthogonal codes ⋮ On the existence of cycle frames and almost resolvable cycle systems ⋮ Completing the spectrum of almost resolvable cycle systems with odd cycle length ⋮ Modified frames with block size 3 ⋮ Mandatory representation designs MRD(\(\{4,k\};v\)) with \(k\equiv 1 \mod 3\) ⋮ Combinatorial constructions for optimal supersaturated designs. ⋮ A survey on resolvable group divisible designs with block size four. ⋮ Existence of incomplete resolvable minimum coverings of pairs by triples. ⋮ Asymptotically optimal erasure-resilient codes for large disk arrays. ⋮ On the existence of holey 4-cycle frames ⋮ Further results on almost resolvable cycle systems and the Hamilton–Waterloo problem ⋮ Small Uniformly Resolvable Designs for Block Sizes 3 and 4 ⋮ Archimedean graph designs. II. ⋮ Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures ⋮ Embeddings of nearly Kirkman triple systems ⋮ Resolvable maximum packings with quadruples ⋮ Group-divisible designs with block size k having k +1 groups, for k =4, 5 ⋮ Resolvable group divisible designs with large groups ⋮ Some more 5-GDDs, 4-frames and 4-RGDDs ⋮ A New Construction of Group Divisible Designs with Nonuniform Group Type ⋮ Kirkman covering designs with even-sized holes ⋮ Uniformly resolvable designs with index one and block sizes three and four - with three or five parallel classes of block size four ⋮ Resolvable group divisible designs with block size four and general index ⋮ Truncated transversal designs: A new lower bound on the number of idempotent MOLS of side \(n\) ⋮ \(P_3\)-factorization of complete multipartite graphs ⋮ Uniformly resolvable designs with index one, block sizes three and five and up to five parallel classes with blocks of size five ⋮ Existence of holey 3-GDDs of type \((u,g^t w^1)\) ⋮ A Three‐Factor Product Construction for Mutually Orthogonal Latin Squares ⋮ A Complete Solution to Spectrum Problem for Five‐Vertex Graphs with Application to Traffic Grooming in Optical Networks ⋮ Some recent developments on BIBDs and related designs ⋮ The equipartite Oberwolfach problem with uniform tables ⋮ Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\) ⋮ Scheduling CCRR tournaments ⋮ Resolvable group divisible designs with block size four and index three
Cites Work
This page was built for publication: Two new direct product‐type constructions for resolvable group‐divisible designs