The Existence of 2×4 Grid-Block Designs and Their Applications
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Publication:4443078
DOI10.1137/S0895480101387364zbMath1029.05013OpenAlexW2010431671MaRDI QIDQ4443078
Toshio Morihara, Masakazu Jimbo, Yukiyasu Mutoh, Hung-Lin Fu
Publication date: 8 January 2004
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0895480101387364
Combinatorial aspects of block designs (05B05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)
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The existence of \((K_2\times K_6)\)-designs ⋮ Grid-block difference families and related combinatorial structures ⋮ The existence of \((2 \times c, \lambda )\) grid-block designs with \({c\in \{3, 4, 5\}}\) and \(\lambda \geq 1\) ⋮ Decomposing complete graphs into \(K_{r} \times K_{c}\)'s. ⋮ The decomposition of \(K_v\) into \(K_2\times K_5\)'s ⋮ Maximum cyclic 4-cycle packings of the complete multipartite graph ⋮ Resolvable packings ofKvwithK2 × Kc's
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