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  • 标题:Bordered Complex Hadamard Matrices and Strongly Regular Graphs
  • 本地全文:下载
  • 作者:Takuya IKUTA ; Akihiro MUNEMASA
  • 期刊名称:Interdisciplinary Information Sciences
  • 印刷版ISSN:1340-9050
  • 电子版ISSN:1347-6157
  • 出版年度:2021
  • 卷号:27
  • 期号:1
  • 页码:41-56
  • DOI:10.4036/iis.2020.R.03
  • 出版社:The Editorial Committee of the Interdisciplinary Information Sciences
  • 摘要:We consider bordered complex Hadamard matrices whose core is contained in the Bose–Mesner algebra of a strongly regular graph. Examples include a complex Hadamard matrix whose core is contained in the Bose–Mesner algebra of a conference graph due to J. Wallis, F. Szöllősi, and a family of Hadamard matrices given by S. N. Singh and O. P. Dubey. In this paper, we prove that there are no other bordered complex Hadamard matrices whose core is contained in the Bose–Mesner algebra of a strongly regular graph.
  • 关键词:association scheme;Hadamard matrix;conference graph
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