English

Laplacian state transfer in vertex complemented coronas

Quantum Physics 2022-02-16 v1 Combinatorics

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.

Cite

@article{arxiv.2202.07202,
  title  = {Laplacian state transfer in vertex complemented coronas},
  author = {Qiang Wang and Xiaogang Liu},
  journal= {arXiv preprint arXiv:2202.07202},
  year   = {2022}
}
R2 v1 2026-06-24T09:37:06.270Z