On sign-symmetric signed graphs

Ebrahim Ghorbani; Willem H. Haemers; Hamid Reza Maimani; Leila Parsaei Majd

doi:10.26493/1855-3974.2161.f55

On sign-symmetric signed graphs

Ebrahim Ghorbani, Willem H. Haemers, Hamid Reza Maimani, Leila Parsaei Majd

Econometrics and OR

Research output: Contribution to journal › Article › Scientific › peer-review

14 Citations (Scopus)

Abstract

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 (2018).

Original language	English
Pages (from-to)	83-93
Journal	Ars Mathematica Contemporanea
Volume	19
Issue number	1
DOIs	https://doi.org/10.26493/1855-3974.2161.f55
Publication status	Published - Mar 2020

Keywords

signed graph
spectrum

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10.26493/1855-3974.2161.f55

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AB - 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 (2018).

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On sign-symmetric signed graphs

Abstract

Keywords

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