论文标题

与复合复合物矩阵和强烈规则的图形

Bordered complex Hadamard matrices and strongly regular graphs

论文作者

Ikuta, Takuya, Munemasa, Akihiro

论文摘要

我们认为与核心矩阵接壤,其核心包含在强大的图形的Bose-Mesner代数中。例子包括一个复杂的Hadamard矩阵,其核心包含在会议图的Bose-Mesner代数中,原因是J. Wallis,F.SzöllőSi和Singh和Dubey给出的Hadamard矩阵家族。在本文中,我们证明没有其他边界的复合物矩阵,其核心包含在强大的图形的Bose-Mesner代数中。

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 Singh and 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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源