On the Paley graph of a quadratic character

DOI10.1515/ms-2024-0040zbMATH Open1541.0508MaRDI QIDQ6563196

Tung T. Nguyen, Ján Mináč, Lyle Muller, Nguyễn Duy Tân

Publication date: 27 June 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

Gauss sumsPaley graphsspecial values of \(L\)-functionsRamanujan graphsCheeger number

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

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• The isoperimetric and Kazhdan constants associated to a Paley graph
• Codes from incidence matrices and line graphs of Paley graphs
• On generalised Paley graphs and their automorphism groups
• Ramanujan graphs
• Approximate counting, uniform generation and rapidly mixing Markov chains
• Classical theorems on quadratic residues
• Desiderata and suggestions. No. 1: The theory of groups. No. 2: Graphical representation.
• Fekete polynomials, quadratic residues, and arithmetic
• Joins of circulant matrices
• A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
• A Theorem on Permutations in a Finite Field
• Paley and the Paley Graphs
• On clusterings
• A Number-Theoretic Sum
• On Orthogonal Matrices
• On the joins of group rings
• On the Arithmetic of Generalized Fekete Polynomials

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