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https://hdl.handle.net/10356/93927| Title: | Cycle systems in the complete bipartite graph plus a one-factor | Authors: | Ling, San Ma, Jun Pu, Liqun Shen, Hao |
Keywords: | DRNTU::Science::Mathematics | Issue Date: | 2008 | Source: | Pu, L., Shen, H., Ma, J., & Ling, S. (2008). Cycle systems in the complete bipartite graph plus a one-factor. SIAM Journal of discrete math, 21(4), 1083–1092. | Series/Report no.: | SIAM Journal of discrete math | Abstract: | 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 + 1) ≡ 0 (mod m). | URI: | https://hdl.handle.net/10356/93927 http://hdl.handle.net/10220/7629 |
DOI: | 10.1137/06065461X | Schools: | School of Physical and Mathematical Sciences | Rights: | ©2008 Society for Industrial and Applied Mathematics This paper was published in SIAM J Discrete Math and is made available as an electronic reprint (preprint) with permission of Society for Industrial and Applied Mathematics.The paper can be found at http://dx.doi.org/10.1137/06065461X. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 59. Cycle systems in the complete bipartite graph plus one factor.pdf | 161.4 kB | Adobe PDF |  View/Open |
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