4.5 Article

Spectral classes of strongly-regular and distance-regular graphs

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 641, Issue -, Pages 182-199

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2022.02.019

Keywords

Spectral limit; Normalized Laplacian; Strongly-regular graph; Distance-regular graph

Funding

  1. Alexander von Humboldt-Stiftung

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Gu, Jost, Liu, and Stadler (2016) introduced the concept of spectral limit for sequences of graphs and determined the spectral limit for sequences of strongly-regular and distance-regular graphs.
Gu, Jost, Liu, and Stadler (2016) introduced a notion of spectral limit for sequences of graphs. More precisely, this is the limit of the Radon probability measures associated to graphs based on their spectrum of normalized Laplacian matrix. We determine the spectral limit for sequences of strongly-regular as well as distance-regular graphs with classical parameters. (C) 2022 Elsevier Inc. All rights reserved.

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