论文标题

紧密的框架图作为线图出现

Tight Frame Graphs Arising as Line Graphs

论文作者

Furst, Veronika, Grotts, Howard

论文摘要

双重多样性图是那些简单的,无向图的图形,具有加权的Hermitian邻接矩阵,只有两个不同的特征值。从框架理论的角度来看,可以重述它们的表征,因为哪些图具有紧密的框架表示。在本文中,我们对某些是紧密的框架图进行了分类,并在框架图中嵌入框架图中的嵌入。

Dual multiplicity graphs are those simple, undirected graphs that have a weighted Hermitian adjacency matrix with only two distinct eigenvalues. From the point of view of frame theory, their characterization can be restated as which graphs have a representation by a tight frame. In this paper, we classify certain line graphs that are tight frame graphs and improve a previous result on the embedding of frame graphs in tight frame graphs.

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