Difference families in \(\text{Z}_{2d+1}\oplus \text{Z}_{2d+1}\) and infinite translation designs in \(\text{Z} \oplus \text{Z}\)

DOI10.1007/S00373-006-0685-9zbMath1116.05011OpenAlexW2051875716MaRDI QIDQ878054

Andrea Vietri

Publication date: 26 April 2007

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-006-0685-9

zbMATH Keywords

translation invarianttranslation groupscopeperfect familypure family

Mathematics Subject Classification ID

Other designs, configurations (05B30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (1)

On the existence of elementary Abelian cycle systems

Cites Work

• Cyclic Hamiltonian cycle systems of the complete graph.
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Cyclically decomposing the complete graph into cycles
• Cycle decompositions of \(K_n\) and \(K_n-I\)
• Existence of cyclic \(k\)-cycle systems of the complete graph
• Cycle decompositions III: Complete graphs and fixed length cycles
• On the construction of odd cycle systems
• Optical orthogonal codes: design, analysis and applications
• Cyclick-cycle systems of order 2kn +k: A solution of the last open cases
• On the cyclic decompositions of the complete graph into polygons with odd number of edges
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