On the energy of some circulant graphs

DOI10.1016/j.laa.2005.10.020zbMath1083.05029OpenAlexW2142534064MaRDI QIDQ819788

Igor E. Shparlinski

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.020

zbMATH Keywords

Gauss sumsLittlewood conjecture

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other character sums and Gauss sums (11T24) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (19)

CONVOLUTIONS OF RAMANUJAN SUMS AND INTEGRAL CIRCULANT GRAPHS ⋮ Eigenvalues of Cayley graphs ⋮ Minimum energy on trees with \(k\) pendent vertices ⋮ Joins of circulant matrices ⋮ Graphs and matrices with maximal energy ⋮ The energy of graphs and matrices ⋮ The energy of a type of lattice ⋮ Integral circulant Ramanujan graphs of prime power order ⋮ Generalized ABC energy of weighted graphs ⋮ On graphs with equal dominating and c-dominating energy ⋮ The maximal energy of classes of integral circulant graphs ⋮ Extremal energies of integral circulant graphs via multiplicativity ⋮ Closed and asymptotic formulas for energy of some circulant graphs ⋮ A formula for the energy of circulant graphs with two generators ⋮ On the energy of \((0, 1)\)-matrices ⋮ Sharp bounds on the distance spectral radius and the distance energy of graphs ⋮ On the average energy of circulant graphs ⋮ Integral circulant graphs of prime power order with maximal energy ⋮ The energy of unitary Cayley graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• On a constant in the Littlewood problem
• An estimate of the \(L_1\)-norm of an exponential sum
• Maximal energy bipartite graphs
• Upper and lower bounds for the energy of bipartite graphs.
• The energy of a graph
• Remarks on hyperenergetic circulant graphs
• Upper bounds for the number of solutions of a Diophantine equation
• Maximal energy graphs

This page was built for publication: On the energy of some circulant graphs