|
|||||
|
|
Further results on nearly Kirkman triple systems with subsystems |
|
| Authors: | Dameng Deng Rolf Rees Hao Shen |
| Institution: | aDepartment of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China bDepartment of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7 |
| Abstract: | In this paper we further discuss the embedding problem for nearly Kirkman triple systems and get the result that: (1) For u≡v≡0 (mod 6), v 78, and u3.5v, there exists an NKTS(u) containing a sub-NKTS(v). (2) For v=18,24,30,36,42,48,54,60,66 or 72, there exists an NKTS(u) containing a sub-NKTS(v) if and only if u≡0 (mod 6) and u3v. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |