Resumen de Signed graphs with totally disconnected star complements

Zoran Stanic

• 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.