Journal of Jilin University Science Edition ›› 2018, Vol. 56 ›› Issue (5): 1091-1099.
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GAO Yufeng1,2, FENG Tao1
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Abstract: We extended the nuclear design of combinatorial design theory, and considered a more general group divisible nuclear design. By using the method of direct construction and recursive construction, we solved the existence problem of the group divisible nuclear design with block K4-e and equal size group, and proved that there existed a group divisible (K4-e)nuclear design of type gn for n≥3, g≥1.
Key words: group divisible design, nuclear design, graph packing, graph covering
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GAO Yufeng, FENG Tao. Group Divisible (K4-e)Nuclear Design[J].Journal of Jilin University Science Edition, 2018, 56(5): 1091-1099.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2018/V56/I5/1091
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