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拟群在构作图K_(m+2)\K_m的图设计中的应用 被引量：2

Construct the Graph Designs for the Graph by Using Quasigroup
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摘要 利用拟群给出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Gm=Km+2\Km的图设计的一些存在性结果.从而展示了拟群在解决图设计问题中的应用. The needed holey graph designs are given by using quasigroup. Combining with the existence of some graph designs of certain orders, the authors obtain some results of graph designs for , Accordingly, the application of quasigroup in solving problems of graph design is shown.
作者 张艳芳 梁志和
机构地区 河北经贸大学数学与统计学学院 河北师范大学数学与信息科学学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2008年第5期579-581,共3页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(10371031) 河北省自然科学基金(08M002)资助项目
关键词 图设计 带洞图设计 拟群 graph design holey graph design quasigroup
分类号 O157 [理学—基础数学]
  • 相关文献

参考文献5

  • 1Heinrich K. Path-decompositions[ J ]. Le Matematiche ( Catania), 1992,7 : 241-258.
  • 2Bosok J. Decompositions of graphs[ C]. Bostom : Kluwer Academic Publishers, 1990.
  • 3Bermond J C, Schonheim J. G- decompositions of Kn , where G has four vertices or less[ J]. Discrete Math, 1977,19:113-120.
  • 4Bermond J C, Huang C, Rosa A, et al. Decomposition of complete graphs into isomorphic subgraphs with five vertices[J]. Ars Combinatoria, 1980, 10:211-254.
  • 5康庆德,赵红涛.利用Skolem序列构作图K_(m+2)\K_m的图设计[J].河北师范大学学报（自然科学版）,2003,27(5):433-437. 被引量：1

二级参考文献8

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同被引文献20

  • 1高印芝,左会娟,康庆德.含偶长圈的7点7边图的图设计[J].应用数学学报,2004,27(4):646-658. 被引量：4
  • 2Qing-de Kang,Lan-dang Yuan,Shu-xia Liu.Graph Designs for all Graphs with Six Vertices and Eight Edges[J].Acta Mathematicae Applicatae Sinica,2005,21(3):469-484. 被引量：5
  • 3Heinrich K.Path-decompositions[J].Le Matematiche,1992,47(2):241-258.
  • 4Bosák J.Decompositions of graphs[M].Boston:Kluwer Academic Publishers,1990.
  • 5Bermond J C,Schonheim J.G-decompositions of Kn,where Ghas four vertices or less[J].Discrete Math,1977,19(2):113-120.
  • 6Bermond J C,Huang C,Rosa A,et al.Decomposition of com-plete graphs into isomorphic subgraphs with five vertices[J].ArsCombinatoria,1980,10:211-254.
  • 7Yin Jianxing,Gong Busheng.Existence of G-designs with|V(G)|=6[J].Combinatorial Designs and Application,1998,126:201-218.
  • 8Kang Qingde,Zuo Huijuan,Zhang Yanfang.Decompositions ofλKv into k-circuits with one chord[J].Australasian Journal ofCombinatorics,2004,30:229-246.
  • 9Kang Qingde,Du Yanke,Tian Zihong.Decomposition ofλKvinto some graph with six vertices and seven edges[J].Journal ofStatistical Planning and Inference,2006,136(4):1394-1409.
  • 10Kang Qingde,Zhao Hongtao,Ma Chunping.Graph designs fornine graphs with six vertices and nine edges[J].Ars Combinato-ria,2008,88:379-396.

引证文献2

江西师范大学学报（自然科学版）
2008年 第5期

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