Borovićanin, Bojana Line graphs with exactly two positive eigenvalues. (English) Zbl 1052.05046 Publ. Inst. Math., Nouv. Sér. 72(86), 39-47 (2002). The set of connected line graphs whose third largest eigenvalue does not exceed 0 is characterized in two ways: by maximal graphs having this property and by minimal forbidden induced subgraphs for the same property. In addition, line graphs with exactly two positive eigenvalues are characterized. Reviewer: Dragoš Cvetković (Beograd) MSC: 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) Keywords:connected line graphs; eigenvalue PDFBibTeX XMLCite \textit{B. Borovićanin}, Publ. Inst. Math., Nouv. Sér. 72(86), 39--47 (2002; Zbl 1052.05046) Full Text: DOI EuDML