论文标题
邻里冠状者的完美州转移
Perfect state transfer in neighborhood coronas
论文作者
论文摘要
邻里电晕$ g \ star h $是通过将一个副本$ g $和$ | g | $ o $ h $获得的图表，并将$ h $的$ j $ th副本的每个顶点加入$ v_ {j} $ in $ g $的所有邻居。在本文中，我们研究了与邻居矩阵有关的邻里冠状动脉的转移。具体而言，我们提供了一些必要的条件，在这些条件下，邻里电晕$ g \ star h $可以接受完美的州转移，并获得了基于邻里冠状动脉的新绘图家庭。
The neighborhood corona $G \star H$ is the graph obtained by taking one copy $G$ and $|G|$ copies of $H$, and joining each vertex of the $j$th copy of $H$ to all neighbors of $v_{j}$ in $G$. In this paper, we study the state transfer of neighborhood coronas related to the adjacency matrix. Concretely, we provide some necessary conditions under which the neighborhood corona $G \star H$ admits perfect state transfer, and obtain a new family of graphs with pretty good state transfer based on neighborhood coronas.
