Open AccessMore on signed graphs with at most three eigenvalues
Author(s) -
Farzaneh Ramezani,
Peter Rowlinson,
Zoran Stanić
Publication year - 2021
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.2393
Subject(s) - mathematics , eigenvalues and eigenvectors , signed graph , combinatorics , graph , physics , quantum mechanics
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 vertex-deleted subgraphs which themselves have at most 3 distinct eigenvalues. We also construct new examples using weighing matrices and symmetric 3-class association schemes.
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