Decomposition of λKv into 6-Circuits with Two Chords  

作　　者：KANG Qing De LIU Shu Xia YUAN Lan Dang 

机构地区：[1]Institute of Mathematics, Hebei Normal University, Hebei 050016, China [2]College of Mathematics & Star., Hebei University of Economics and Trade, Hebei 050061, China [3]College of Occupation Technology, Hebei Normal University, Hebei 050031, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第5期774-786,共13页数学研究与评论（英文版）

基　　金：Foundation item： the National Natural Science Foundation of China （No. 10671055）; the Natural Science Foundation of Hebei Province （No. A2007000230）; the Foundation of Hebei Normal University （No. L2007B22）.

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.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.

关 键 词：graph design holey graph design sharply 2-transitive group. 

分 类 号：O151.21[理学—数学] TM13[理学—基础数学]