Some families of digraphs determined by the complementarity spectrum

• Published in: Linear algebra and its applications Vol. 709; pp. 364 - 384
• Main Authors: Bravo, Diego, Cubría, Florencia, Fiori, Marcelo, Rama, Gustavo
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.03.2025
• Subjects: Complementarity spectrum; Digraph characterization; Spectral radius; 05C20; Complementarity spectrum; Digraph characterization; 05C50; 05C25; Spectral radius

In this paper we study seven families of digraphs, and we determine whether digraphs in these families can be determined by their spectral radius. These seven families have been characterized as the only families of digraphs with exactly three complementarity eigenvalues [1], and therefore our resul...