期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

3个9点9边图的图设计

  • 1. 河北民族师范学院 数学与计算机科学学院, 河北 承德 067000;
    2. 河北师范大学 数学与信息科学学院, 河北 石家庄 050024
  • DOI: 10.13763/j.cnki.jhebnu.nse.2016.06.001

Graph Designs of Three Graphs with Nine Vertices and Nine Edges

摘要/Abstract

摘要:

研究了3个9点9边图的图设计.利用差方法构造了一些带洞图设计和图设计,以此作为递归基础,利用递归构造确定了它们的存在谱.

Abstract:

In this paper,we discussed G-design of λKv into three graphs with nine vertices and nine edges.We constructed some holly graph designs and graph designs using difference method,and determined their existence spectrum by recursive construction.

参考文献 5

  • [1] ALSPACH B,GAVLAS H.Cycle Decompositions of Kn and Kn-1[J].Combin Theory B,2001,81:77-99.doi:10.1006/jctb.2000.1996
  • [2] BOSAK J.Decompositions of Graphs.Boston:Kluwer Academic Publishers,1990.
  • [3] HEINRICH K.Path-decomposition[J].Le Mathematics(Catania),1992,XLVII:241-258.
  • [4] SAJNA M.Cycle Decompositions III:Complete Graphs and Fixed Length Cycles[J].J Combin Des,2002,10:27-78.doi:10.1002/jcd.1027
  • [5] KANG Q,DU Y,TIAN Z.Decompositions of λ Kv into Some Graph with Six Vertices and Seven Edges[J].J Statistical Planning and Inference,2006,136:1394-1409.doi:10.1016/j.jspi.2004.10.006