We characterize the class [...] L32 of intersection graphs of hypergraphs with rank at most 3 and multiplicity at most 2 by means of a finite list of forbidden induced subgraphs in the class of threshold graphs. We also give an O(n)-time algorithm for the recognition of graphs from [...] L32 in the class of threshold graphs, where n is the number of vertices of a tested graph.
@article{bwmeta1.element.doi-10_7151_dmgt_1916, author = {Yury Metelsky and Kseniya Schemeleva and Frank Werner}, title = {A Finite Characterization and Recognition of Intersection Graphs of Hypergraphs with Rank at Most 3 and Multiplicity at Most 2 in the Class of Threshold Graphs}, journal = {Discussiones Mathematicae Graph Theory}, volume = {37}, year = {2017}, pages = {13-28}, zbl = {1354.05094}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1916} }
Yury Metelsky; Kseniya Schemeleva; Frank Werner. A Finite Characterization and Recognition of Intersection Graphs of Hypergraphs with Rank at Most 3 and Multiplicity at Most 2 in the Class of Threshold Graphs. Discussiones Mathematicae Graph Theory, Tome 37 (2017) pp. 13-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1916/