Line hypergraphs: A survey (Q1270643)

A line hypergraph is a new multivalued function which generalizes two classical concepts, the line graph and the dual hypergraph. The present paper is a survey which covers almost all results on line hypergraphs, given mainly by the authors and contained in the articles \textit{A. G. Levin} and \textit{R. I. Tyshkevich} [Discrete Math. Appl. 3, No. 4, 407-427 (1993; Zbl 0799.05047)]; \textit{R. I. Tyshkevich} [Dokl. Akad. Nauk Belarusi 38, No. 4, 8-10 (1994; Zbl 0815.05047)] and \textit{R. I. Tyshkevich} and \textit{V. E. Zverovich} [Discrete Math. 161, No. 1-3, 265-283 (1996; Zbl 0870.05053)].