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Further Results on the Nullity of Signed Graphs

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  • Yu Liu
  • Lihua You

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 , obtain the nullity set of unbalanced bicyclic signed graphs, and thus determine the nullity set of bicyclic signed graphs.

Suggested Citation

  • Yu Liu & Lihua You, 2014. "Further Results on the Nullity of Signed Graphs," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, February.
    • Handle: RePEc:hin:jnljam:483735
    DOI: 10.1155/2014/483735
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    Cited by:

    1. Guihai Yu & Hui Qu, 2018. "More on Spectral Analysis of Signed Networks," Complexity, Hindawi, vol. 2018, pages 1-6, October.

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