Extremal energies of integral circulant graphs via multiplicativity

DOI10.1016/j.laa.2012.04.012zbMath1243.05150OpenAlexW2072535622MaRDI QIDQ442672

Tuan Anh Le, Jürgen Sander

Publication date: 3 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.012

zbMATH Keywords

Cayley graphmultiplicative functioncirculant graphintegral graphgraph spectrumgraph energy

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Arithmetic functions; related numbers; inversion formulas (11A25) Trigonometric and exponential sums (general theory) (11L03)

Related Items (9)

CONVOLUTIONS OF RAMANUJAN SUMS AND INTEGRAL CIRCULANT GRAPHS ⋮ Eigenvalues of Cayley graphs ⋮ Holes in lace doilies: the geometric kernel of circulant graphs ⋮ Integral circulant Ramanujan graphs of prime power order ⋮ Characterisation of all integral circulant graphs with multiplicative divisor sets and few eigenvalues ⋮ On the kernel of integral circulant graphs ⋮ The geometric kernel of integral circulant graphs ⋮ The energy of all connected cubic circulant graphs ⋮ Integral circulant Ramanujan graphs via multiplicativity and ultrafriable integers

Cites Work

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