| 完全图分拆为带两条弦的6-长圈 |
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| 引用本文： | 康庆德,刘淑霞,袁兰党. 完全图分拆为带两条弦的6-长圈[J]. 数学研究及应用, 2009, 29(5): 774-786. DOI: 10.3770/j.issn:1000-341X.2009.05.002 |
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| 作者姓名： | 康庆德 刘淑霞 袁兰党 |
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| 作者单位： | 河北师范大学数学研究所, 河北 石家庄 050016;河北经贸大学数理与统计学院, 河北 石家庄 050061;河北师范大学职业技术学院, 河北 石家庄 050031 |
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| 基金项目： | 国家自然科学基金(No.10671055);河北省自然科学基金(No.A2007000230);河北师范大学基金(No.L2007B22). |
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| 摘 要： | In this paper, we discuss the G-decomposition of λKv into 6-circuits with two chords. We construct some holey G-designs using sharply 2-transitive group, and present the recursive structure by PBD. We also give a unified method to construct G-designs when the index equals the edge number of the discussed graph. Finally, the existence of G-GDλ（v） is given.
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| 关 键 词： | 分解 电路 和弦 递归结构 聚丁二烯 GDI 集团 边数 |
| 收稿时间： | 2007-07-27 |
| 修稿时间： | 2007-09-07 |
Decomposition of $lambda K_v$ into $6$-Circuits with Two Chords |
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| KANG Qing De,LIU Shu Xia and YUAN Lan Dang. Decomposition of $lambda K_v$ into $6$-Circuits with Two Chords[J]. Journal of Mathematical Research with Applications, 2009, 29(5): 774-786. DOI: 10.3770/j.issn:1000-341X.2009.05.002 |
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| Authors: | KANG Qing De LIU Shu Xia YUAN Lan Dang |
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| Affiliation: | Institute of Mathematics, Hebei Normal University, Hebei 050016, China;College of Mathematics & Stat., Hebei University of Economics and Trade, Hebei 050061, China;College of Occupation Technology, Hebei Normal University, Hebei 050031, China |
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| Abstract: | In this paper, we discuss the $G$-decomposition of $lambda K_v$ into $6$-circuits with two chords. We construct some holey $G$-designs using sharply 2-transitive group, and present the recursive structure by PBD. We also give a unified method to construct $G$-designs when the index equals the edge number of the discussed graph. Finally, the existence of $G$-$GD_lambda(v)$ is given. |
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| Keywords: | graph design holey graph design sharply 2-transitive group. |
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