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Spectra of Signed Graphs

In: Approximation and Computation in Science and Engineering

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  • Irene Triantafillou

    (Agricultural University of Athens)

Abstract

A signed graph is a graph that has a sign assigned to each of its edges. Signed graphs were introduced by Harary in 1953 in relation to certain problems in social psychology, and the matroids of signed graphs were first introduced by Zaslavsky in 1982. The investigation of the spectra of signed graphs has gained much attention in recent years by various authors. In this chapter, we focus on some of the most important results related to the eigenvalues of the adjacency and the Laplacian matrices of signed graphs.

Suggested Citation

  • Irene Triantafillou, 2022. "Spectra of Signed Graphs," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Approximation and Computation in Science and Engineering, pages 861-873, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84122-5_41
    DOI: 10.1007/978-3-030-84122-5_41
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