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Article

More on signed graphs with at most three eigenvalues

Details

Citation

Ramezani F, Rowlinson P & Stani? Z (2022) More on signed graphs with at most three eigenvalues. Discussiones Mathematicae Graph Theory, 42 (4), pp. 1313-1331. https://doi.org/10.7151/dmgt.2393

Abstract
We consider signed graphs with just 2 or 3 distinct eigenvalues, in particular (i) those with at least one simple eigenvalue, and (ii) those with vertexdeleted subgraphs which themselves have at most 3 distinct eigenvalues. We also construct new examples using weighing matrices and symmetric 3-class association schemes

Keywords
adjacency matrix; simple eigenvalue; strongly regular signed graph; vertex-deleted subgraph; weighing matrix; association scheme

Journal
Discussiones Mathematicae Graph Theory: Volume 42, Issue 4

StatusPublished
Publication date31/12/2022
Publication date online11/02/2021
Date accepted by journal25/01/2021
URL
PublisherFaculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora
ISSN1234-3099

People (1)

Professor Peter Rowlinson

Professor Peter Rowlinson

Emeritus Professor, Mathematics

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