Decomposition of λK_v into Five Graphs with Six Vertices and Eight Edges  

作　　者：Lan-dang YUAN Qing-de KANG 

机构地区：[1]College of Mathematics and Information Science,Hebei Normal University [2]Institute of Math.,Hebei Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第4期823-832,共10页应用数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China Grant 10971051,11171089;Natural Science Foundation of Hebei Province Grant A2010000353

摘　　要：In this paper, we discuss the G-decomposition of λKv （G-GD）, （v）） into five graphs with six vertices and eight edges. We present some recursive structures and a number of G-designs of small orders, holey G- designs, and incomplete G-designs are constructed. Finally, the spectrum of the existence of G-GD）λ（v） is determined.In this paper, we discuss the G-decomposition of λKv （G-GD）, （v）） into five graphs with six vertices and eight edges. We present some recursive structures and a number of G-designs of small orders, holey G- designs, and incomplete G-designs are constructed. Finally, the spectrum of the existence of G-GD）λ（v） is determined.

关 键 词：graph design holey graph design quasi-group 

分 类 号：O157.5[理学—数学]