Laplacian state transfer in vertex complemented coronas

• URL: http://arxiv.org/abs/2202.07202v1
• Date: Tue, 15 Feb 2022 05:33:10 GMT
• Title: Laplacian state transfer in vertex complemented coronas
• Authors: Qiang Wang, Xiaogang Liu
• Abstract summary: We prove that there is no Laplacian perfect state transfer in. vertex complemented coronas. We give a sufficient condition for. vertex complemented coronas to have Laplacian pretty good state transfer.
• Score: 7.4976452082662775
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we investigate the existence of Laplacian perfect state transfer and Laplacian pretty good state transfer in vertex complemented coronas. We prove that there is no Laplacian perfect state transfer in vertex complemented coronas. In contrast, we give a sufficient condition for vertex complemented coronas to have Laplacian pretty good state transfer.

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