Round-dance neighbour designs from terraces

DOI10.1016/S0012-365X(02)00799-9zbMath1025.05010MaRDI QIDQ1810630

D. A. Preece, R. A. Bailey, M. A. Ollis

Publication date: 9 June 2003

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

zbMATH Keywords

Hamiltonian decomposition2-sequencingsrow-complete Latin squaresbalanced-circuit designsdirected terracesLucas-Walecki constructionOwens terraceRamsgate Sands problemRees neighbour designssymmetric sequencingstriangular-number terracesTuscan squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (14)

Hamiltonian Cycle Systems Which Are Both Cyclic and Symmetric ⋮ Families of proper generalized neighbor designs ⋮ On the full automorphism group of a Hamiltonian cycle system of odd order ⋮ Some da capo directed power-sequence \(\mathbb Z _{n+1}\) terraces with \(n\) an odd prime power ⋮ Constructions for Terraces and R-Sequencings, Including a Proof That Bailey's Conjecture Holds for Abelian Groups ⋮ Hamiltonian decompositions of complete \(k\)-uniform hypergraphs ⋮ Non-binary neighbor balance circular designs for \(v=2n\) and \(\lambda =2\) ⋮ Some new results on 1-rotational 2-factorizations of the complete graph ⋮ A decomposition of (λK υ)+ with extended triangles ⋮ Sectionable terraces and the (generalised) Oberwolfach problem ⋮ Some Results on 1‐Rotational Hamiltonian Cycle Systems ⋮ Non binary partially neighbor balanced designs for circular blocks ⋮ From graceful labellings of paths to cyclic solutions of the Oberwolfach problem ⋮ Circular neighbor-balanced designs using cyclic shifts

Cites Work

• Sequences in groups with distinct partial products
• Optimum balanced block and Latin square designs for correlated observations
• Hamiltonian decomposition of \(K^*_ n\), patterns with distinct differences, and Tuscan squares
• Sequenceable groups and related topics.
• Elementary Number Theory
• Every finite solvable group with a unique element of order two, except the quaternion group, has a symmetric sequencing
• Latin Squares which Contain No Repeated Digrams
• EXPERIMENTAL DESIGNS FOR SERIALLY CORRELATED OBSERVATIONS
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