Large sets of cycle systems on nine points

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.

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.

Viewing alternatives

Look up in Google Scholar
No digital document available to download for this item

Item Actions

Export

About

CORE (COnnecting REpositories)

Recommendations