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6长圈带2条悬边的8阶连通图的图设计
引用本文:张艳芳.6长圈带2条悬边的8阶连通图的图设计[J].江西师范大学学报(自然科学版),2012,0(1):51-53.
作者姓名:张艳芳
作者单位:河北经贸大学数学与统计学学院, 河北 石家庄 050061
基金项目:河北省自然科学基金(A2010001481,A2011207003)资助项目
摘    要:构造了所需的带洞图设计, 再结合一些小阶数的图设计的存在性, 得到了关于图Gi (i=1,2,3,4)的图设计(v, Gi ,1)-GD的存在谱, 其中图Gi (i=1,2,3,4)是给6长圈增加2条悬挂边所得的8阶连通图, 且G1, G2, G3, G4互不同构.

关 键 词:图设计  带洞图设计  连通图

The Graph Designs of Connected Graphs with 8 Vertices Obtained by Adding Two Pendant Edges from a Cycle of Length 6
ZHANG Yan-fang.The Graph Designs of Connected Graphs with 8 Vertices Obtained by Adding Two Pendant Edges from a Cycle of Length 6[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,0(1):51-53.
Authors:ZHANG Yan-fang
Institution:ZHANG Yan-fang(College of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang Hebei 050061,China)
Abstract:The needed holey graph designs are constructed.The existence spectrum of(v,Gi,1)-GD is obtained by combining with the existence of some graph designs of small orders,i=1,2,3,4,where G1,G2,G3,G4 are the con-nected graphs of order 8 obtained by adding two pendant edges from a cycle of length 6 and G1,G2,G3,G4 are not isomorphic each other.
Keywords:graph design  holey graph design  connected graph
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