Perfect state transfer on gcd-graphs

DOI10.1080/03081087.2016.1267105zbMath1387.05070arXiv1601.07647OpenAlexW2963889326MaRDI QIDQ4603754

Bikash Bhattacharjya, Hiranmoy Pal

Publication date: 19 February 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07647

zbMATH Keywords

Cayley graphperfect state transferKronecker product of graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (14)

Pretty good state transfer on circulant graphs ⋮ Eigenvalues of Cayley graphs ⋮ Laplacian state transfer in edge coronas ⋮ Laplacian state transfer in edge complemented coronas ⋮ State transfers in vertex complemented coronas ⋮ No Laplacian perfect state transfer in total graphs ⋮ Laplacian pair state transfer in vertex coronas ⋮ Perfect state transfer on quasi-abelian semi-Cayley graphs ⋮ Perfect quantum state transfer on Cayley graphs over dicyclic groups ⋮ More circulant graphs exhibiting pretty good state transfer ⋮ Perfect state transfer on abelian Cayley graphs ⋮ Perfect state transfer in NEPS of complete graphs ⋮ Laplacian state transfer in total graphs ⋮ Quantum state transfer on a class of circulant graphs

Cites Work

• Unnamed Item
• Perfect state transfer in cubelike graphs
• Periodic graphs
• State transfer on 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
• Perfect state transfer in products and covers of graphs
• PERFECT STATE TRANSFER, GRAPH PRODUCTS AND EQUITABLE PARTITIONS
• PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS
• GCD-graphs and NEPS of complete graphs

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