On the existence of 5-Sun systems

DOI10.1016/J.DISC.2013.09.007zbMath1281.05106OpenAlexW1977805790MaRDI QIDQ394302

Yuan-Lung Lin, Chin-Mei Fu, Ming-Hway Huang

Publication date: 27 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.disc.2013.09.007

zbMATH Keywords

decompositioncyclic\(k\)-Sun system1-rotationalSun graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (4)

Decomposition of cartesian product of complete graphs into sunlet graphs of order eight ⋮ Unnamed Item ⋮ A reduction of the spectrum problem for odd sun systems and the prime case ⋮ Decomposition of hypercubes into sunlet graphs of order eight

Cites Work

• From Steiner triple systems to 3-Sun systems
• On the existence of \(k\)-sun systems
• Cyclically decomposing the complete graph into cycles
• Existence of cyclic \(k\)-cycle systems of the complete graph
• Existence of 1-rotational \(k\)-cycle systems of the complete graph
• Decomposition of complete multigraphs into crown graphs
• Cyclicm-cycle systems withm ≤ 32 orm = 2q withq a prime power
• On sequential labelings of graphs
• Resolvable even‐cycle systems with a 1‐rotational automorphism
• Rotational k‐cycle systems of order v < 3k; another proof of the existence of odd cycle systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the existence of 5-Sun systems