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Title: Signed (0,2)-graphs with few eigenvalues and a symmetric spectrum
Authors: Greaves, Gary Royden Watson
Stanić, Zoran
Keywords: Science::Mathematics
Issue Date: 2022
Source: Greaves, G. R. W. & Stanić, Z. (2022). Signed (0,2)-graphs with few eigenvalues and a symmetric spectrum. Journal of Combinatorial Designs, 30(5), 332-353.
Project: RG21/20
Journal: Journal of Combinatorial Designs
Abstract: We investigate properties of signed graphs that have few distinct eigenvalues together with a symmetric spectrum. Our main contribution is to determine all signed rectagraphs (triangle-free signed (Formula presented.) -graphs) with vertex degree at most 6 that have precisely two distinct eigenvalues (Formula presented.). Next, we consider to what extent induced subgraphs of signed graph with two distinct eigenvalues (Formula presented.) are determined by their spectra. Lastly, we classify signed rectagraphs that have a symmetric spectrum with three distinct eigenvalues and give a partial classification for signed (Formula presented.) -graphs with four distinct eigenvalues.
ISSN: 1063-8539
DOI: 10.1002/jcd.21828
Rights: © 2022 Wiley Periodicals LLC. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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