Further Results on the Nullity of Signed Graphs

Yu Liu and Lihua You

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. A signed graph is a graph with a sign attached to each of its edges. In this paper, we apply the coefficient theorem on the characteristic polynomial of a signed graph and give two formulae on the nullity of signed graphs with cut‐points. As applications of the above results, we investigate the nullity of the bicyclic signed graph Γ(∞(p, q, l)), obtain the nullity set of unbalanced bicyclic signed graphs, and thus determine the nullity set of bicyclic signed graphs.

Date: 2014
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https://doi.org/10.1155/2014/483735

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:483735

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