ABSTRACT

Pair state transfer was introduced very recently, and there are only few results on the existence of pair state transfer in graphs. In this paper, we mainly study the existence of Laplacian pair state transfer in vertex coronas. We give sufficient conditions for vertex corona to have or to not have Laplacian perfect pair state transfer. We also give a sufficient condition for vertex corona to have Laplacian pretty good pair state transfer.

中文翻译：

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顶点冠中的拉普拉斯对状态转移

摘要

配对状态转移是最近才被引入的，关于图中配对状态转移的存在性的结果很少。本文主要研究顶点冠中拉普拉斯对状态转移的存在性。我们给出了顶点电晕具有或不具有拉普拉斯完美对状态转移的充分条件。我们还给出了顶点电晕具有良好的拉普拉斯状态转移的充分条件。