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
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.