Šoltés, Ľubomír Forbidden induced subgraphs for line graphs. (English) Zbl 0805.05072 Discrete Math. 132, No. 1-3, 391-394 (1994). Summary: We prove that a connected graph with at least nine vertices is a line graph if and only if it does not contain any of the seven given graphs as an induced subgraph. We also show that the number seven cannot be reduced even if the number of vertices is increased. Cited in 7 Documents MSC: 05C75 Structural characterization of families of graphs Keywords:induced subgraphs; connected graph; line graph PDF BibTeX XML Cite \textit{Ľ. Šoltés}, Discrete Math. 132, No. 1--3, 391--394 (1994; Zbl 0805.05072) Full Text: DOI OpenURL References: [1] Beineke, L. W., Derived graphs and digraphs, (Beiträge zur Graphentheorie (1968), Teubner: Teubner Leipzig), 17-33 · Zbl 0179.29204 [2] Cvetković, D.; Doob, M.; Simić, S., Generalized line graphs, J. Graph Theory, 5, 385-399 (1981) · Zbl 0475.05061 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.