Work

Spectrally indistinguishable pseudorandom graphs

Year: 2025

Type: preprint

Abstract: We construct explicit families of graphs whose eigenvalues are asymptotically distributed according to Wigner's semicircle law; in other words, that are spectrally indistinguishable from random graphs. However, in other respects they are strikingly dissimilar from random graphs; for example, they are $K_{2,3}$-free graphs with almost the maximum possible edge density.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2511.21351

Authors: Forey, Arthur, Fresán, Javier, Kowalski, Emmanuel, Wigderson, Yuval

Institutions: Université de Lille, Laboratoire Paul Painlevé, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, Université Paris Diderot, ETH Zurich

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Agence Nationale de la Recherche, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, HORIZON EUROPE European Research Council

Awards: G434337789, Trace functions and arithmetic Fourier transforms, Exponential Motives and Arithmetic Gevrey Series

OpenAlex ID: W4416790763

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