Signed graphs with totally disconnected star complements

• Zoran Stanic ^[1]
  1. [1] University of Belgrade

     University of Belgrade

     Serbia

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 1, 2021, págs. 95-104
• Idioma: inglés
• DOI: 10.33044/revuma.1480
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• Resumen

  • We are interested in a signed graph G˙ which admits a decomposition into a totally disconnected (i.e., without edges) star complement and a signed graph S˙ induced by the star set. In this study we derive certain properties of G˙ ; for example, we prove that the number of (distinct) eigenvalues of S˙ does not exceed the number of those of G˙ . Some particular cases are also considered.