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

1 1/2-设计的构造

  • (1.河北师范大学 数学科学学院, 河北 石家庄 050024; 2.河北师范大学 计算机与网络空间安全学院, 河北 石家庄 050024)
  • DOI: 10.13763/j.cnki.jhebnu.nse.202201010

摘要/Abstract

摘要:

通过分析1 1/2-设计的性质, 给出非真正的1 1/2-设计的具体分类, 并给出1 1/2-设计的一些构造和必要条件, 进而得到一些新的有向强正则图.

Abstract:

By analyzing the properties of 1 1/2-designs, this article gives the specific classification of improper 1 1/2-designs, some constructions and necessary conditions of 1 1/2-design,then some new directed strongly regular graphs are obtained.

参考文献 6

  • [1] NEUMAIER A.Designs [J]. J Combin Theory Ser A, 1980, 28(3):226-248.doi:10.1016/0097-3165(80)90067-9
  • [2] BOSE R C, SHRIKHANDS S S, SINGHI N M.Edge Regular Multigraphs and Partial Geometric Designs with an Application to the Embedding of Quasi-residual Designs [J]. Proceedings of the Colloquio Internazionale Sulle Teorie Combinatorie I, 1976, 17:49-81.
  • [3] BROUWER A E, OLMEZ O, SONG S Y.Directed Strongly Regular Graphs from1 1/2-designs [J]. European J Combin, 2012, 33(6):1174-1177.doi 10.1016/j.ejc.2012.01.011
  • [4] 沈颢.组合设计理论 [M]. 上海:上海交通大学出版社, 2008.SHEN Hao. Theory of Combinatorial Designs [M]. Shanghai:Shanghai Jiaotong University Press, 2008.
  • [5] OLMEZ O.Symmetric-design and Difference Sets [J]. J Combin Theory Ser A, 2014, 22(6):252-269. doi: 10.1002/jcd.21354
  • [6] 陈小燕.剩余类环上的广义分圆及1 1/2-设计的构造 [D]. 石家庄:河北师范大学, 2016. doi: 10.7666/d.Y3003145 CHEN Xiaoyan.Generalized Cyclotomy over Residue Class Ring and the Construction of1 1/2-designs [D]. Shijiazhuang:Hebei Normal University, 2016.