Geodesic
On sign-symmetric signed graphs
Ars Mathematica Contemporanea, Tome 19 (2020) no. 1, pp. 83-93.

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A signed graph is said to be sign-symmetric if it is switching isomorphic to its negation. Bipartite signed graphs are trivially sign-symmetric. We give new constructions of non-bipartite sign-symmetric signed graphs. Sign-symmetric signed graphs have a symmetric spectrum but not the other way around. We present constructions of signed graphs with symmetric spectra which are not sign-symmetric. This, in particular answers a problem posed by Belardo, Cioabă, Koolen, and Wang in 2018.
DOI : 10.26493/1855-3974.2161.f55
Keywords: Signed graph‎, ‎spectrum 
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Ebrahim Ghorbani; Willem H. Haemers; Hamid Reza Maimani; Leila Parsaei Majd. On sign-symmetric signed graphs. Ars Mathematica Contemporanea, Tome 19 (2020) no. 1, pp. 83-93. doi : 10.26493/1855-3974.2161.f55. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2161.f55/

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