Perfect state transfer in integral circulant graphs of non-square-free order

DOI10.1016/J.LAA.2010.01.042zbMath1221.05104OpenAlexW2065493715MaRDI QIDQ972791

Marko D. Petković, Milan Bašić

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.042

zbMATH Keywords

Cayley graphscirculant graphsintegral graphsperfect state transfer

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (10)

Eigenvalues of Cayley graphs ⋮ State transfer and star complements in graphs ⋮ Perfect state transfer on NEPS of the path on three vertices ⋮ The maximal energy of classes of integral circulant graphs ⋮ Perfect state transfer in NEPS of some graphs ⋮ Perfect state transfer on abelian Cayley graphs ⋮ State transfer on graphs ⋮ Two spectral characterizations of regular, bipartite graphs with five eigenvalues ⋮ Perfect state transfer in unitary Cayley graphs and gcd-graphs ⋮ On state transfer in Cayley graphs for abelian groups

Cites Work

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• Some classes of integral circulant graphs either allowing or not allowing perfect state transfer
• Integral circulant graphs
• Perfect state transfer in integral circulant graphs
• Graphs with integral spectrum
• On the clique number of integral circulant graphs
• On cycles in the sequence of unitary Cayley graphs
• A survey on multi-loop networks.
• Some properties of unitary Cayley graphs
• Longest induced cycles in circulant graphs
• PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS

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