| 2类6点7边图的$lambda$-填充与$lambda$-覆盖 |
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| 引用本文： | 杜艳可,康庆德. 2类6点7边图的$lambda$-填充与$lambda$-覆盖[J]. 数学研究及应用, 2011, 31(1): 59-66 |
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| 作者姓名： | 杜艳可 康庆德 |
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| 作者单位： | 军械工程学院应用数学研究所, 河北 石家庄 050003;河北师范大学数学研究所, 河北 石家庄 050016 |
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| 基金项目： | 国家自然科学基金 (Grant No.10671055). |
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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.
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| 关 键 词： | G-design G-packing design G-covering design. |
| 收稿时间： | 2009-02-13 |
| 修稿时间： | 2010-01-18 |
Packings and Coverings of $lambda{K_v}$ with 2 Graphs of 6 Vertices and 7 Edges |
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| Yan Ke DU and Qing De KANG. Packings and Coverings of $lambda{K_v}$ with 2 Graphs of 6 Vertices and 7 Edges[J]. Journal of Mathematical Research with Applications, 2011, 31(1): 59-66 |
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| Authors: | Yan Ke DU and Qing De KANG |
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| Affiliation: | Institute of Applied Mathematics, Mechanical Engineering College, Hebei 050003, P. R. China;Institute of Mathematics, Hebei Normal University, Hebei 050016, P. R. China |
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| Abstract: | A maximum ($v,G,lambda$)-$PD$ and a minimum ($v,G,lambda$)-$CD$ are 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 $(v,G_i,lambda)$-$OPD$ $(OCD)$ for $vequiv 2,3,4,5,6~({rm mod},~7)$, $lambda geq 1,~i=1,2$. |
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| Keywords: | $G$-design $G$-packing design $G$-covering design. |
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