论文标题
表征某些类别的图形及其产品作为框架图
Characterization of some classes of graphs and their products as frame graph
论文作者
论文摘要
对于内部产品空间中的每个有限帧$φ$ $ \ MATHCAL {H} $，我们将简单的图$ g（φ）$，称为{\ it frame graph}，将框架的向量作为顶点作为顶点，并且Vertices $ f $ f $ f $和$ g $之间的边缘是$ f $ f，g $ f，g $ f，g $ \ langle f，g \ rangle \ rangle \ rang \ rang \ n n $ n n n $ n n n n n $ neq 0 [1] 1.1 1 1.1 1 1）在本文中，研究了一些众所周知的图表及其产品的$ g（φ）$的顺序与$ \ Mathcal {H} $的尺寸之间的关系。
To each finite frame $φ$ in an inner product space $\mathcal{H}$ we associate a simple graph $G(φ)$, called {\it frame graph}, with the vectors of the frame as vertices and there is an edge between vertices $f$ and $g$ provided that $\langle f, g\rangle \neq 0$ [1]. In this paper the relation between the order of $G(φ)$ and the dimension of $\mathcal{H}$ is investigated for some well-known classes of graphs and their products.
