论文标题

在整体混合循环图上的状态转移

State transfer on integral mixed circulant graphs

论文作者

Song, Xing-Kun, Lin, Huiqiu

论文摘要

如果其Hermitian邻接矩阵的所有特征值都是整数,则称为混合循环图。本文的主要目的是研究整体混合循环图上的完美​​状态转移(简称PST)和多个状态转移(简称MST)。具体而言,我们分别为整体混合循环图上指定的顶点之间的PST和MST提供了足够和必要的条件。

A mixed circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral mixed circulant graphs. Concretely, we provide sufficient and necessary conditions for the existence of PST and MST between specified pairs of vertices on integral mixed circulant graphs, respectively.

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