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Linear and Multilinear Algebra Volume 71, 2023 - Issue 14
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Research Article

Laplacian pair state transfer in vertex coronas

Wei Wanga School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, Shaanxi, People's Republic of China;b Xi'an-Budapest Joint Research Center for Combinatorics, Northwestern Polytechnical University, Xi'an, Shaanxi, People's Republic of ChinaView further author information
,
Xiaogang Liua School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, Shaanxi, People's Republic of China;b Xi'an-Budapest Joint Research Center for Combinatorics, Northwestern Polytechnical University, Xi'an, Shaanxi, People's Republic of China;c School of Mathematics and Statistics, Qinghai Nationalities University, Xining, Qinghai, People's Republic of ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-0266-9774View further author information
ORCID Icon &
Jing Wanga School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, Shaanxi, People's Republic of China;b Xi'an-Budapest Joint Research Center for Combinatorics, Northwestern Polytechnical University, Xi'an, Shaanxi, People's Republic of ChinaView further author information
Pages 2282-2297 | Received 11 Mar 2022, Accepted 28 Jun 2022, Published online: 19 Jul 2022
 
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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.

MATHEMATICS SUBJECT CLASSIFICATIONS (2010):

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

Supported by the National Natural Science Foundation of China (No. 11601431), the Natural Science Foundation of Shaanxi Province (Nos. 2020JM-099 and 2020JQ-104) and the Natural Science Foundation of Qinghai Province (No. 2020-ZJ-920).

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