On the existence of cycle frames and almost resolvable cycle systems

DOI10.1016/J.DISC.2011.07.008zbMath1293.05031OpenAlexW2064948589MaRDI QIDQ641197

Juan-Miguel Gracia

Publication date: 21 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.disc.2011.07.008

zbMATH Keywords

cycle framecycle group divisible designalmost resolvable cycle system

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (14)

\(C_{4p}\)-frame of complete multipartite multigraphs ⋮ Internally fair factorizations and internally fair holey factorizations with prescribed regularity ⋮ Cycle Frames of Complete Multipartite Multigraphs - III ⋮ A note on the Hamilton-Waterloo problem with \(C_8\)-factors and \(C_m\)-factors ⋮ Almost resolvable maximum packings of complete graphs with 5-cycles ⋮ On the existence of k $k$‐cycle semiframes for even k $k$ ⋮ Unnamed Item ⋮ Completing the spectrum of almost resolvable cycle systems with odd cycle length ⋮ On the existence of holey 4-cycle frames ⋮ Further results on almost resolvable cycle systems and the Hamilton–Waterloo problem ⋮ More results on cycle frames and almost resolvable cycle systems ⋮ Six-cycle systems ⋮ Cycle frames and the Oberwolfach problem ⋮ Fair holey Hamiltonian decompositions of complete multipartite graphs and long cycle frames

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hanani triple systems
• Resolvable group divisible designs with block size 3
• Near 2-factorizations of \(2K_ n:\) Cycles of even length
• Kirkman frames having hole type \(h^u m^1\) for small \(h\)
• Frames for Kirkman triple systems
• The existence of \(C_ k\)-factorizations of \(K_{2n}-F\)
• The solution of the bipartite analogue of the Oberwolfach problem
• The Oberwolfach problem and factors of uniform odd length cycles
• Almost resolvable decompositions of \(2K_ n\) into cycles of odd length
• Cycle decompositions of \(K_n\) and \(K_n-I\)
• The equipartite Oberwolfach problem with uniform tables
• Resolvable 4-cycle group divisible designs with two associate classes: part size even
• Cycle decompositions III: Complete graphs and fixed length cycles
• Almost resolvable cycle systems-an analogue of Hanani triple systems
• Two new direct product‐type constructions for resolvable group‐divisible designs

This page was built for publication: On the existence of cycle frames and almost resolvable cycle systems