Cycle systems in the complete bipartite graph plus a one-factor

• Main Authors: Ling, San, Ma, Jun, Pu, Liqun, Shen, Hao
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2012
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/93927; http://hdl.handle.net/10220/7629
• Institution: Nanyang Technological University

Let Kn,n denote the complete bipartite graph with n vertices in each partite set and Kn,n+I denote Kn,n with a one-factor added. It is proved in this paper that there exists an m-cycle system of Kn,n + I if and only if n ≡ 1 (mod 2), m ≡ 0 (mod 2), 4 ≤ m ≤ 2n, and n(n...