| Some applications of linear algebra in combinatorics |
| کد مقاله : 1068-SLAA10 |
| نویسندگان |
|
مریم خسروی * بخش ریاضی محض، دانشگاه شهید باهنر کرمان، کرمان،ایران |
| چکیده مقاله |
| In this paper, using some linear algebraic methods, we show taht every latin tades can be produced by intercalates (i.e. latin trades of volume 4). A similar result is true for 4-cycle systems. That is, every 4-cycle systems can be generated by double-diamonds (4-cycle systems of volume 2). |
| کلیدواژه ها |
| latin square, 4-cycle system, trade, nulity of matrix,basis |
| وضعیت: پذیرفته شده مشروط برای ارائه شفاهی |