We prove that if \(m\) is even then a partial \(m\)-cycle system on \(n\) vertices can be embedded in an \(m\)-cycle system on \(2mn+1\) vertices.
Citation
C. C. Lindner, C. A. Rodger, D. R. Stinson. Embedding Cycle Systems of Even Length[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 003. 65-69. DOI: .