完备图分拆为带一条弦的(2k-1)-长圈

摘要

本文给出了构造G-设计的一个统一方法及当v≡1(mod 4k)时的C2k-1 (r)-GD(v)的存在性,其中C10 (r),1≤r≤k-2表示带一条弦的2k-1长圈,r表示弦两个端点间的顶点个数.%In this paper, we give a unified method to construct G-designs and solve the existence of C2k-1 (r)-GD(v) for v ≡ 1 (mod 4k), where the graph C(r)C2k-1 (r),1≤r≤k - 2, denotes a circle of length 2k - 1 with one chord and r is the number of vertices between the ends of the chord.