摘要
Let ARDkCS（v） denote an almost resolvable directed k-cycle system of order v. It is clear that a necessary condition for the existence of an ARDkCS（v） is v=1（mod k）. For k：3,4,5 and 6, the existence of an ARDkCS （v） had been completely solved. This paper shows that there exists an ARD7CS（v） if and only if v≡1 （rood 7） and v≥8.
Let ARDkCS(v) denote an almost resolvable directed k-cycle system of order v. It is clear that a necessary condition for the existence of an ARD kCS(v) is v≡1(mod k). For k=3,4,5 and 6, the existence of an ARDkCS(v) had been completely solved. This paper shows that there e xists an ARD7CS(v) if and only if v≡1(mod 7) and v≥8.
基金
Natural Science Research Leading Item ofJiangsu (No.04 DJ110144)
Natural Out-standing Younger Science Foundation(No.60225007)and Postdoctoral ScienceFoundation of China(No.20020248024)
