https://orcid.org/0000-0002-0266-9774
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ABSTRACT
Characterizing which graphs have Laplaican perfect state transfer or Laplacian pretty good state transfer is an interesting and desirable problem. In this paper, we investigate the existence of Laplacian perfect state transfer and Laplacian pretty good state transfer in edge coronas. We give sufficient conditions for edge coronas to not have Laplacian perfect state transfer as well as sufficient conditions for edge coronas to have Laplacian perfect state transfer. Additionally, we also give sufficient conditions for edge coronas to have Laplacian pretty good state transfer.
Acknowledgments
The authors greatly appreciate the anonymous referees for their comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
Xiaogang Liu was supported by the National Natural Science Foundation of China (No. 11601431), the China Postdoctoral Science Foundation (No. 2016M600813), the Natural Science Foundation of Shaanxi Province (Nos. 2017JQ1019 and 2020JM-099), and the Natural Science Foundation of Qinghai Province (No. 2020-ZJ-920). Shenggui Zhang was supported by the National Natural Science Foundation of China (Nos. 11571135 and 11671320) and the Fundamental Research Funds for the Central Universities (No. 3102019GHJD003).