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

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...

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Bibliographic Details
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:
Online Access:https://hdl.handle.net/10356/93927
http://hdl.handle.net/10220/7629
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Institution: Nanyang Technological University
Language: English