subject predicate object context
22769 Creator 80b473f9888b354bf7fee26ec7cc369f
22769 Creator c63396a7fbb007ccb76080db8037c860
22769 Creator ext-b164cb606a2519a76dfcfd300b8fa902
22769 Date 2005
22769 Is Part Of repository
22769 Is Part Of p08353026
22769 abstract An $m$-cycle system of order $v$, denoted by $m$CS($v$), is a decomposition of the complete graph $K_v$ into $m$-cycles. We discuss two types of large sets of $m$CS($v$) and construct examples of both types for $(m,v)=(4,9)$ and one type for $(m,v)=(6,9)$. These are the first large sets of cycle systems constructed with $m>3$, apart from the Hamiltonian cycle decompositions given by Bryant in 1998.
22769 authorList authors
22769 status peerReviewed
22769 volume 53,
22769 type AcademicArticle
22769 type Article
22769 label Bryant, D. E.; Grannell, Mike and Griggs, Terry (2005). Large sets of cycle systems on nine points. Journal of Combinatorial Mathematics and Combinatorial Computing, 53, pp. 95–102.
22769 label Bryant, D. E.; Grannell, Mike and Griggs, Terry (2005). Large sets of cycle systems on nine points. Journal of Combinatorial Mathematics and Combinatorial Computing, 53, pp. 95–102.
22769 Title Large sets of cycle systems on nine points
22769 in dataset oro