CONVOLUTIONS OF RAMANUJAN SUMS AND INTEGRAL CIRCULANT GRAPHS

DOI10.1142/S1793042112501023zbMath1290.11003OpenAlexW1964502800MaRDI QIDQ3166343

Jürgen Sander, Tuan Anh Le

Publication date: 11 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112501023

zbMATH Keywords

Cayley graphcirculant graphintegral graphgraph energyRamanujan's sumconvolution of arithmetic functions

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 (7)

Eigenvalues of Cayley graphs ⋮ Holes in lace doilies: the geometric kernel of circulant graphs ⋮ Characterisation of all integral circulant graphs with multiplicative divisor sets and few eigenvalues ⋮ Extremal energies of integral circulant graphs via multiplicativity ⋮ On the kernel of integral circulant graphs ⋮ The geometric kernel of integral circulant graphs ⋮ Integral circulant Ramanujan graphs via multiplicativity and ultrafriable integers

Cites Work

• Extremal energies of integral circulant graphs via multiplicativity
• Arithmetical functions associated with the unitary divisors of an integer
• Integral circulant graphs
• On the energy of some circulant graphs
• Perfect state transfer in integral circulant graphs
• Graphs with integral spectrum
• Distance spectra and distance energy of integral circulant graphs
• Ramanujan graphs
• On the Kernel of the Coprime Graph of Integers
• PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS
• The energy of integral circulant graphs with prime power order
• Some remarks on the theory of graphs

This page was built for publication: CONVOLUTIONS OF RAMANUJAN SUMS AND INTEGRAL CIRCULANT GRAPHS