Designs with mutually orthogonal resolutions and decompositions of edge‐colored graphs

DOI10.1002/jcd.20225zbMath1223.05013OpenAlexW1975458385MaRDI QIDQ3578140

Esther R. Lamken

Publication date: 13 July 2010

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20225

zbMATH Keywords

graph decompositionsorthogonal resolutionsBIBDs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (8)

On generalized Howell designs with block size three ⋮ The asymptotic existence of \(\mathrm{DR}(v,k,k-1)\)-BIBDs ⋮ Orthogonally Resolvable Cycle Decompositions ⋮ Resolvability of infinite designs ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ A few more Kirkman squares and doubly near resolvable BIBDs with block size 3 ⋮ The asymptotic existence of frames with a pair of orthogonal frame resolutions ⋮ Constructions and uses of incomplete pairwise balanced designs

Cites Work

• Existence results for doubly near resolvable \((v,3,2)\)-BIBDs
• Balanced tournament designs and resolvable (v,3,2)-BIBDs
• The existence of orthogonal resolutions of lines in AG(n,q)
• The existence of Room 5-cubes
• Doubly resolvable designs from generalized Bhaskar Rao designs
• Doubly resolvable designs
• On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays
• Transversal designs and doubly-resolvable designs
• The existence of Room squares
• Balanced incomplete block designs and related designs
• Constructions for generalized balanced tournament designs
• The existence of doubly resolvable \((v,3,2)\)-BIBDs
• Decompositions of edge-colored complete graphs
• A few more Kirkman squares and doubly near resolvable BIBDs with block size 3
• 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs
• Existence results for near resolvable designs
• On Mutually Orthogonal Resolutions and Near-Resolutions
• The existence of doubly near resolvable (v,3,2)‐BIBDs
• Orthogonal starters and Kirkman multidimensional hypercubes
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