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Abstract Let Kv be the complete graph on v vertices, and G a finite simple undirected graph without isolated vertices. A G-packing of Kv, denoted by (v, G, 1)-packing, is a pair (X,A) where X is the vertex set of K+ and +4 is a family of edge-disjoint subgraphs isomorphic to G in Kv. In this paper, the maximum number of subgraphs in a (v, G, 1)-packing is determined when G is K2 x K3, the Cartesian product of K2 and K3, leaving two orders undetermined. This design originated from the use of DNA library screening. 相似文献
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令Kv表示v个顶点的完全图,G是一个不含孤立点的简单连通图.一个v阶的G-设计是将Kv划分成互不相交的子图,使得每个子图都和G同构,记为G-GD(v).研究六点九边图G11的图设计存在性问题.利用标准的递推构造并结合必要的直接构造,证明除去G11-GD(9)不存在以及G11-GD(18)的存在性未知外,G11-GD(v... 相似文献
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