Laplacian state transfer in total graphs

DOI10.1016/j.disc.2020.112139zbMath1455.05045OpenAlexW3087044149MaRDI QIDQ2219939

Yanyan Li

Publication date: 21 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2020.112139

zbMATH Keywords

total graphLaplacian perfect state transferLaplacian pretty good state transfer

Mathematics Subject Classification ID

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

Related Items (10)

Periodicity of quantum walks defined by mixed paths and mixed cycles ⋮ Laplacian state transfer on graphs with an edge perturbation between twin vertices ⋮ Signless Laplacian state transfer on \(\mathcal{Q} \)-graphs ⋮ Laplacian state transfer in edge complemented coronas ⋮ No Laplacian perfect state transfer in total graphs ⋮ Quantum state transfer on neighborhood corona of two graphs ⋮ Combinatorial necessary conditions for regular graphs to induce periodic quantum walks ⋮ Walking on vertices and edges by continuous-time quantum walk ⋮ Laplacian perfect state transfer in extended neighborhood coronas ⋮ Cayley graphs of dihedral groups having perfect edge state transfer

Cites Work

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• Perfect state transfer in Laplacian quantum walk
• Pretty good state transfer on some NEPS
• Perfect state transfer in cubelike graphs
• Periodic graphs
• State transfer on graphs
• Laplacian state transfer in coronas
• Perfect state transfer on NEPS of the path on three vertices
• An application of Galois theory to elementary arithmetic
• More circulant graphs exhibiting pretty good state transfer
• Characterization of quantum circulant networks having perfect state transfer
• Pretty good state transfer on double stars
• Perfect state transfer on distance-regular graphs and association schemes
• Pretty good state transfer on circulant graphs
• Quantum state transfer in coronas
• Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian
• The spectrum of the edge corona of two graphs
• When can perfect state transfer occur?
• Perfect state transfer, integral circulants and join of graphs
• No Laplacian Perfect State Transfer in Trees
• COMMUNICATION IN XYZ ALL-TO-ALL QUANTUM NETWORKS WITH A MISSING LINK
• Perfect state transfer on gcd-graphs
• Quantum Theory for Mathematicians
• The signless Laplacian state transfer in coronas
• Perfect state transfer in NEPS of some graphs

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