More circulant graphs exhibiting pretty good state transfer

DOI10.1016/j.disc.2017.12.012zbMath1380.05124arXiv1705.08859OpenAlexW2964130583MaRDI QIDQ1699529

Hiranmoy Pal

Publication date: 23 February 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08859

zbMATH Keywords

circulant graphpretty good state transfer

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph theory (05C99)

Related Items (9)

Eigenvalues of Cayley graphs ⋮ Laplacian state transfer on graphs with an edge perturbation between twin vertices ⋮ Laplacian state transfer in edge coronas ⋮ Laplacian state transfer in edge complemented coronas ⋮ State transfers in vertex complemented coronas ⋮ Laplacian pair state transfer in vertex coronas ⋮ Laplacian state transfer in total graphs ⋮ Quantum state transfer on a class of circulant graphs ⋮ Pretty good state transfer on Cayley graphs over semi-dihedral groups

Cites Work

• A class of \textit{gcd}-graphs having perfect state transfer
• Quantum cryptography: public key distribution and coin tossing
• Pretty good state transfer on some NEPS
• Periodic graphs
• State transfer on graphs
• Laplacian state transfer in coronas
• Integral circulant graphs
• Perfect state transfer on NEPS of the path on three vertices
• Integral Cayley graphs over Abelian groups
• Characterization of quantum circulant networks having perfect state transfer
• Pretty good state transfer on double stars
• Pretty good state transfer on circulant graphs
• Quantum state transfer in coronas
• Quantum cryptography based on Bell’s theorem
• Perfect state transfer on gcd-graphs
• PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS

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