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Packings and Coverings of λK_v with 2 Graphs of 6 Vertices and 7 Edges

Packings and Coverings of λK_v with 2 Graphs of 6 Vertices and 7 Edges
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摘要 A maximum (v, G, λ)-PD and a minimum (v, G, λ)-CD axe studied for 2 graphs of 6 vertices and 7 edges. By means of "difference method" and "holey graph design", we obtain the result: there exists a (v, Gi, λ)-OPD (OCD) for v ≡ 2, 3, 4, 5, 6 (mod 7), λ ≥ 1, i = 1, 2. A maximum (v, G, λ)-PD and a minimum (v, G, λ)-CD axe studied for 2 graphs of 6 vertices and 7 edges. By means of "difference method" and "holey graph design", we obtain the result: there exists a (v, Gi, λ)-OPD (OCD) for v ≡ 2, 3, 4, 5, 6 (mod 7), λ ≥ 1, i = 1, 2.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第1期59-66,共8页 数学研究与评论(英文版)
基金 Supported by the National Natural Science Foundation of China (Grant No.10671055)
关键词 G-design G-packing design G-covering design. G-design G-packing design G-covering design.
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参考文献8

  • 1GE Gennian. Existence of holey LSSOM of type 2^n with application to GT-packing of Kv [J]. J. Statist. Plann. Inference, 2001, 94(2): 211-218. 被引量:1
  • 2KANG Qingde, WANG Zhiqin. Optimal packings and coverings of AKv with graph K5 - P5 [J]. Bull. Inst. Combin. Appl., 2004, 41: 22-41. 被引量:1
  • 3ZHANG Shucheng, YIN Jianxing. Packing of K, with certa/n graphs of five vertices [J]. J. Statist. Plann. Inference, 2002, 106(1-2): 387-408. 被引量:1
  • 4KANG Qingde, ZHANG Yanfang, ZUO Huijuan. Packings and coverings of AKv by k-circuits with one chord [J]. Discrete Math., 2004, 279(1-3): 287-315. 被引量:1
  • 5KANG Qingde, LIANG Zhihe. Optimal packings and coverings of ADKv with k-circuits [J]. J. Combin. Math. Combin. Comput., 2001, 39: 203-253. 被引量:1
  • 6DU Yanke, KANG Qingde. Packings and coverings of a graph with 6 vertices and 7 edges [J]. J. Math. R~s. Exposition, 2008, 28(4): 799-806. 被引量:1
  • 7TIAN Zihong, DU Vanke, KANG Qingde. Decomposing complete graphs into isomorphic subgraphs with six vertices and seven edges [J]. Ars Combin., 2006, 81: 257-279. 被引量:1
  • 8KANG Qingde, DU Yanke, TIAN Zihong. Decomposition of AKv into some graph with six vertices and seven edges [J]. J. Statist. Plann. Inference, 2006, 136(4): 1394-1409. 被引量:1

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