Line hypergraphs
A.G. Levin, R. I. Tyshkevich · Discrete Mathematics and Applications · 1993
Abstract The notion of the line hypergraph is introduced. It is an immediate generalization of two wellknown objects: a line graph and a dual hypergraph. We obtain various characterizations of line hypergraphs; we also obtain a generalization of Whitney's theorem. The NP-completeness of the problem of determining whether a given graph is the line graph of a hypergraph of rank r > 2 is proved.